ICMIS 2013

#776

Title:

Optimal L^{∞}-Asymptotic behavior for a class of evolutionary Hamilton-Jacobi-Belman equations

Authors Name :

Salah Boulaaras

Authors Address :

Department of Mathematics, Faculty of Science; University of Science and Technology Mohamed Bodiaf of Oran, Algeria

Authors Email:

saleh_boulaares@yahoo.fr

Submitted at:

2013-05-15 09:29:30 AM

Abstract:

This paper deals with the maximum norm analysis of an overlapping Schwarz method on nonmatching grids for a class of evolutionary Hamilton-Jacobi-Belman equations. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the L∞ norm.

#501

Title:

Energy Dissipation by Air Bubbles of Surf-zone Spilling Breakers

Authors Name :

Shin-Ichi  , Ashabul Hoque 

Authors Address :

Dept. of Civil Engineering, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan 
Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh 

Authors Email:

aoki_tut@mac.com 
ashabulh@yahoo.com 

Submitted at:

2013-05-07 11:04:43 AM

Abstract:

A theoretical formulation that describes energy transformation and dissipation caused by air bubble entrainment in water is developed. To verify the air bubble model for spilling breaking waves, laboratory experiments were carried out with measurements of void fraction distributions. A quantative analysis shows that the ratios of energy dissipation rate caused by bubble entrainment to total dissipation rate have been found to be 18-20% for spilling breakers. Further, the results of the air-bubble model are compared with the laboratory data and the computed results show good agreement except some of discrepancies in the vicinity of the breaking point and near the shoreline.

#308

Title:

Homotopy Analysis of a hydromagnetic viscous fluid over a non-linear stretching and shrinking sheet

Authors Name :

M.S. Abdelmeguid

Authors Address :

Akhbar El-Yom Academy, 6 October City, Giza 12573, Egypt

Authors Email:

msaid76@yahoo.com

Submitted at:

2013-05-02 08:42:29 AM

Abstract:

In this paper, the effects of suction/blowing and thermal radiation on a hydromagnetic viscous fluid over a non-linear stretching and shrinking sheet are investigated. After a similarity transformation, the arising system has been solved by homotopy analysis method (HAM). Convergence of the HAM solution is checked. It is found that dual solutions exist for this particular problem. The analytical results are validated using the Matlab bvp4c numerical routine.

#206

Title:

A Novel Method for Face Recognition and Feature Extraction

Authors Name :

Mohamed Heshmat   , Moheb Girgis  , Seham Elaw  , Walaa Mohamed 

Authors Address :

Faculty of science, Mathematical and Computer Science Department, Sohag University, 82524, Sohag, Egypt. 
Faculty of science, Department of Computer Science, Minia University, El-Minia, Egypt. 
Faculty of science, Mathematical and Computer Science Department, Sohag University, 82524, Sohag, Egypt. 
Faculty of science, Mathematical and Computer Science Department, Sohag University, 82524, Sohag, Egypt. 

Authors Email:

Heshmat@science.sohag.edu.eg 
moheb.girgis@mu.edu.eg 
Seham_amer@science.sohag.edu.eg 
walaa.hussien@science.sohag.edu.eg 

Submitted at:

2013-04-12 06:05:03 PM

Abstract:

The present paper describes a novel method of face recognition based on variance estimation and facial feature extraction. The proposed method uses OpenCV to load boosted haar classifier cascades which allows an initial detection of the faces within a given image. Variance estimation of RGB components is computed to compare the extracted faces and the faces within the database used in comparison. Also a new method to extract facial features is developed based on feature location with respect to face dimensions. Euclidean distance of facial features of the extracted faces from test image and faces extracted from database after variance test is used. The proposed method can be used in face recognition systems such as video surveillance, human computer interfaces, image database management and smart home applications. Results demonstrate the success of the proposed method, which show that our method of detection and verification achieves very encouraging results with good accuracy and simple computations.

#169

Title:

On applications of inequalities for confluent Hypergeometric functions

Authors Name :

Ayman Shehata Mohammed

Authors Address :

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Authors Email:

drshehata2006@yahoo.com

Submitted at:

2013-04-04 02:15:34 PM

Abstract:

This paper is motivated by an open problem of Luke's theorem. We consider the problem of developing a chain of several inequalities for confluent hypergeometric functions as applications and of their general ratios are obtained. Some particular cases and refinements are given. In the sequel inequalities for simple Laguerre, Laguerre, Pseudo-Laguerre, Shively's Pseudo-Laguerre and Hermite functions and of their ratios are established

#168

Title:

UNIFORM NUMERICAL METHOD FOR A SINGULARLY PETURBED DIFFERENTIAL EQUATION WITH DELAY

Authors Name :

Gabil M. AMIRALI (AMIRALIYEV)

Authors Address :

Sinop University, Faculty of Sciences, Department of Mathematics,57000, Sinop, Turkey

Authors Email:

gabilamirali@yahoo.com

Submitted at:

2013-04-03 12:06:19 PM

Abstract:

This paper deals with the singularly perturbed boundary-value problem for a non-linear second order delay ordinary differential equation. For the numerical solution of this problem, we use an exponentially fitted difference scheme on a uniform mesh which is accomplished by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. The method is shown to be uniform convergent of first-order in the discrete maximum norm.Numerical results supporting the theory are presented.

#150

Title:

Boundary layer flow past over a shrinking sheet with heat transfer and mass suction in the presence of transverse magnetic field

Authors Name :

Dr. Anuj Kumar Jhankal

Authors Address :

Birla Institute of Technology, Mesra, Extension Center-Jaipur, 27 MIA, Jaipur-302017, INDIA

Authors Email:

anujjhankal@yahoo.com

Submitted at:

2013-03-25 10:42:53 AM

Abstract:

This paper considers the problem of boundary layer flow and heat transfer past a shrinking with wall mass suction in the presence of transverse magnetic field. The governing boundary layer equations for fluid flow and energy are reduced into ordinary differential equations by means of similarity transformations which are than solved using Maple software. The effects of various parameters are presented and discussed.

#109

Title:

RELIABILITY MEASTURES OF ADEGRADABLE SYSTEM WITH STANDBY SWITCHING FAILURES AND REBOOT DELAY

Authors Name :

mustafa salah shama

Authors Address :

tanta University, Faculty of Science, Mathematics Department

Authors Email:

m_shama87@yahoo.com

Submitted at:

2013-03-16 04:41:38 PM

Abstract:

we study the reliability measures of degradable system with M operating units, W cold standby units, and 〖(R〗_1+R_2) repairmen in which switching failures and reboot delay are considered. A mathematical model has been developed for exponential failure and exponential repair. The expressions of reliability characteristics such as the system reliability,〖 R〗_Y (t) and the mean time to system failure (MTTF) are derived. We use several cases to analysis graphically the effect of various system parameters on the system reliability〖 R〗_Y (t)and MTTF. We also perform sensitivity analysis for the reliability characteristics with changes in specific values of the system parameters.

#108

Title:

RELIABILITY AND AVAILABILITY ANALYSIS OF ASTNDBY REPAIRABLE SYSTEM WITH DEGRADATION FACILITY

Authors Name :

mustafa salah shama

Authors Address :

tanta University, Faculty of Science, Mathematics Department

Authors Email:

m_shama87@yahoo.com

Submitted at:

2013-03-16 04:40:11 PM

Abstract:

we study the reliability and availability of repairable system with M operating units, W cold standby units, and 〖(R〗_1+R_2) repairmen in the system with partial failure rates. The degradation facility used to predict the component’s failure and to determine how availability and reliability improved. A mathematical model has been developed for exponential failure and exponential repair. The expressions of availability〖 A〗_Y (t) and reliability characteristics such as the system reliability,〖 R〗_Y (t) and the mean time to system failure (MTTF) are derived. We use several cases to analysis graphically the effect of various system parameters on the availability system, reliability system and MTTF. We also investigate the sensitivity analysis for the system reliability with changes in a specific value of the system parameters.

#107

Title:

Reliability Analysis of a Cold Standby Repairable System with Switching Failures and Reboot Delay

Authors Name :

mustafa salah shama

Authors Address :

tanta University, Faculty of Science, Mathematics Department

Authors Email:

m_shama87@yahoo.com

Submitted at:

2013-03-16 04:37:25 PM

Abstract:

we study the reliability of a Cold Standby Repairable System with Switching Failures and Reboot Delay. A mathematical model has been developed for exponential failure and exponential repair. The expressions of reliability characteristics such as the system reliability and the mean time to system failure are derived. We use several cases to analysis graphically the effect of various system parameters on the reliability system and MTTF. We also investigate the sensitivity analysis for the system reliability with changes in a specific value of the system parameters.

#105

Title:

on prediction problem of exponential distribution

Authors Name :

A. H. Abd Ellah

Authors Address :

Sohag University, Faculty of Science, Mathematics Department, Sohag 82524

Authors Email:

ahmed.abdelah@science.sohag.edu.eg

Submitted at:

2013-03-09 01:38:14 PM

Abstract:

We consider the problem of predictive problem for the exponential distribution.

#104

Title:

On the fundamental equations for modelling neuronal dynamics

Authors Name :

M. M. Khader  , M Adel  , Nasser Hassan Sweilam 

Authors Address :

Benha University, Faculty of Science, Mathematics Department 
Cairo University, Faculty of Science, Mathematics Departmnt, Giza, Egypt 
Cairo University, Faculty of Science, Mathematics Department 

Authors Email:

mohamedmbd@yahoo.com 
ms_1072008@yahoo.com 
nsweilam@sci.cu.edu.eg 

Submitted at:

2013-03-06 09:49:06 AM

Abstract:

Abstract The cable equation is one of the most fundamental equations for modelling neuronal dynamics. Due to its significant deviation from the dynamics of Brownian motion, the anomalous diffusion in biological systems can not be adequately described by the traditional Nernst-Planck equation or its simplification, the Cable equation. Recently, a modified Cable equation was introduced for modeling the anomalous diffusion in spiny neuronal dendrites (Henry, Langlands, and Wearne, 2008). The resulting governing equation, the so-called fractional Cable equation, which is similar to the traditional Cable equation except that the order of derivative with respect to the space and/or time is fractional. In this work, a numerical study for the fractional Cable equations which is introduced by using weighted average of finite difference methods. The stability analysis of the proposed methods is given by a recently proposed procedure similar to the standard John von Neumann stability analysis. A simple and accurate stability criterion valid for different discretization schemes of the fractional derivative and arbitrary weight factor is introduced and checked numerically. Numerical results, figures, and comparisons have been presented to confirm the theoretical results and efficiency of the proposed method

#103

Title:

Some notes on the paper "Weak condition for generalized multi-valued $(f,\alpha, \beta)$-weak contraction mappings"

Authors Name :

M. A. Ahmed

Authors Address :

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Authors Email:

mahmed68@yahoo.com

Submitted at:

2013-03-04 07:51:41 PM

Abstract:

We establish that Theorems 4.5, 3.3 and 3.1 [2] are consequences of correspondence theorems for one multi-valued map.

#102

Title:

Boundary layer MHD and slip flow of a nanofluid past a non-linearly stretching sheet

Authors Name :

A. Mahdy

Authors Address :

Suth Valley University, Qena , Egypt

Authors Email:

mahdy4@yahoo.com

Submitted at:

2013-03-03 03:10:09 PM

Abstract:

The main purpose of this contribution is to analyze the development of the steady boundary layer flow, heat transfer and nanoparticle fraction the effect of partial slip boundary condition on diffusion of chemically reactive species of viscous incompressible fluid in a vertical nonlinearity stretching sheet taken into account the suction or injection effect. The non-linear partial differential equations and boundary conditions are reduced to a system of non-linear ordinary differential equations and boundary conditions by similarity transformations. Graphs are plotted for various values of the emerging dimensionless parameters of the problem and discussed. A comparison with previously published work on a special case of the general problem was performed and the results were found to be in excellent agreement. Results for the wall shear stress and Sherwood number as well as the details of the velocities and concentration fields are presented for representative governing parameters.

#101

Title:

Missing samples recovery in generalized oversamping on shift-invariant spaces

Authors Name :

Dae Gwan Lee  , Kil H. Kwon 

Authors Address :

Dept of Mathematical Sciences, KAIST, Korea 
Dept of Mathematical Sciences, KAIST, Korea 

Authors Email:

daegwan@kaist.ac.kr 
khkwon@kaist.edu 

Submitted at:

2013-03-02 04:11:42 AM

Abstract:

It is well known that in the classical Shannon sampling theory on band-limited signals, any finitely many missing samples can be recovered when the signal is oversampled at a rate higher than the minimum Nyquist rate. In this work, we consider the problem of recovering missing samples from multi-channel oversampling in a general shift-invariant space. We find conditions under which any finite or infinite number of missing samples can be recovered.

#100

Title:

Semi-supervised Tensor Graph-optimized Linear Discriminant Analysis for Two-dimensional Face Recognition

Authors Name :

Ming-ming Qi

Authors Address :

shaoxing university

Authors Email:

webqmm1974@163.com

Submitted at:

2013-03-01 07:42:19 PM

Abstract:

A new semi-supervised dimensionality reduction method called Semi-supervised Tensor Graph-optimized Linear Discriminant Analysis (STGLDA) for two-dimensional face recognition. Unlike recent proposed Tensor Locally Linear Discriminative Analysis (TLLDA), STGLDA offers some advantages over TLLDA. 1) STGLDA is originated from Graph-based Fisher Analysis (GbFA) while TLLDA is originated from the Local Fisher Discriminant Analysis (LFDA). In contrast to LFDA, GbFA encodes the richer discriminating information and there is no assumption that the data obey Gaussian distribution. 2) With the linear weighted way of fusing Principal Component Analysis (PCA) and GbFA, STGLDA preserves global scatter structure information and Graph-based discriminant information capturing local structure feature. TLLDA only pay attentions to preserve local structure information and discriminant information while ignores preserving global structure information. Experimental results on real face databases demonstrate that STGLDA is highly competitive with TLLDA and other tensor dimensionality reduction algorithm.

#99

Title:

An Efficient Color Image Compression Scheme for Storage and Transmission of Images

Authors Name :

M. Heshmat  , Walaa M. Abdel-Hafiez, 

Authors Address :

Mathematical Department, Computer Science branch, Faculty of Science, Sohag University, 82524, Sohag, Egypt 
Mathematical Department, Computer Science branch, Faculty of Science, Sohag University, 82524, Sohag, Egypt 

Authors Email:

heshmat72@gmail.com 
walaa.hussien@science.sohag.edu.eg 

Submitted at:

2013-02-27 12:17:11 AM

Abstract:

The recent convergence trend of multimedia technology and telecommunications along with the materialization of the Web as a strong competitor of conventional distribution networks have generated an acute need for enrichment in modalities and capabilities of the delivery of digital media. Within this new trend, a main challenge relates to the production of easy adaptable content capable of optimally fitting into evolving and heterogeneous networks as well as iterative delivery platforms with specific content requirements. Network supported multimedia applications involve many different transmission capabilities, including Web based applications, narrowcasting, conventional terrestrial for interactive broadcasting, wireless channels, high definition television for sensitive remote applications, e.g., remote medical diagnosis, etc. These applications are used to deliver content to a wide range of terminals and users surrounded by different environments and acting under totally different circumstances. In this paper, new techniques for the DCT color image coding based on feature extraction are proposed, to study the effect of the edge based color image coding on the compression quality. Moreover, modification of the traditional JPEG method based on edge coding is achieved. In the beginning, the image is subdivided into a block of pixels with different block size. Firstly; the block must be classified as foreground block or background block based on a pre-processing step. The foreground blocks will be compressed via JPEG technique but with significant quantized coefficients and the DC coefficient only from one block in the background is used to code it. A comparative analysis of coding efficiency for the proposed techniques relative to the recent coding methods is introduced in this paper.

#98

Title:

Nonlinear Nano-Scale Control Design of Piezoelectric Materials

Authors Name :

Yung-Yu Chen

Authors Address :

701 1 university Road, Tainan, Taiwan

Authors Email:

yungyuchen@mail.ncku.edu.tw

Submitted at:

2013-02-22 11:03:44 AM

Abstract:

Piezoelectric materials possess really high potential to deliver nano-scale or micro-scale positioning resolution, huge blocking force, and fast response; hence they are widely utilized in a variety of engineering applications and product designs. However, a higher and unacceptable positioning error always occurs due to the hysteresis effect of the piezoelectric materials. For high-precision applications, this natural behavior should be eliminated. For solving this problem, a nonlinear nano-scale control design based on concepts of Bouc-Wen model, system identification, and the nonlinear sliding mode control method is proposed. This proposed design can be divided into the following four steps: 1. Input and output behaviors of piezoelectric materials are firstly mathematically described with Bouc-Wen model, 2. System parameters in Bouc-Wen model for representing the characteristics of piezoelectric materials then simultaneously identified with respect to practical input and output data of piezoelectric materials, 3. Stability verification for this identified Bouc-Wen model should be done in the next, and 4. A nonlinear sliding mode control is elegantly derived finally via minimizing the tracking error performance index. One important contribution of this investigation is that the tracking error between output displacement of mathematical modeled piezoelectric materials and desired trajectory can be proven to exponentially converge to zero.

#97

Title:

A New Approach to the Solution of the Nonlinear Klein-Gordon Equation

Authors Name :

Dr.Morufu Oyedunsi OLAYIWOLA

Authors Address :

Department of Mathematical & Physical Sciences, Osun State University, Osogbo, Nigeria.

Authors Email:

olayiwola.oyedunsi@uniosun.edu.ng

Submitted at:

2013-02-13 10:40:46 AM

Abstract:

In this paper a new Modified Variational Iteration Method (MVIM) for the solution of nonlinear Klein-Gordon equations is presented. This method is an elegant combination of the successive Taylor’s approximation and the Variational Iteration Method (VIM). Numerical results show the complete reliability of the proposed technique. Keywords: Klein-Gordon, modified variational iteration method, lagrange multiplier, Taylor’s series, partial differential equation.

#95

Title:

Tight extensions of T_0-quasi-metric spaces

Authors Name :

Paulus Haihambo  , Agyingi Collins Amburo  , Hans-Peter A. Kunzi 

Authors Address :

Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa 
Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa 
Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa 

Authors Email:

kashitoma@yahoo.com 
agyingi.collinsamburo@uct.ac.za 
hans-peter.kunzi@uct.ac.za 

Submitted at:

2013-01-31 04:50:07 PM

Abstract:

ress introduced and studied the concept of the tight span of a metric space. It is known that Dress's theory is equivalent to the theory of the injective hull of a metric space independently discussed by Isbell some years earlier. In a paper by Kemajou et al. it was shown that Isbell's approach can be modified to work similarly for $T_0$-quasi-metric spaces and nonexpansive maps. Continuing that work we show in the present paper that large parts of the theory developed by Dress do not use the symmetry of the metric and when appropriately modified-holds essentially unchanged for $T_0$-quasi-metric spaces.

#85

Title:

Enhancing comfort of a passenger car

Authors Name :

Syeda Darakhshan Jabeen

Authors Address :

Indian Statistical Institute, Kolkata

Authors Email:

syed_sdj@yahoo.co.in

Submitted at:

2013-01-22 04:00:43 PM

Abstract:

this paper deals with estimating the parametric values of the non-linear passive suspension for comfortable ride. The two dimensional half-car model with two passengers, one seated at the front and the other at the rear position of the vehicle has been constructed mathematically. The non-linear constrained optimization problem has been formulated which satisfy performance as per ISO standards. The optimization problem has been solved in time domain by simulating the model over bumpy roads. The suspension parameters obtained has been compared with those of the industrial design parameters.

#84

Title:

Quantum Control using Nonomechanical Resonators

Authors Name :

Hebd Kadry, L. Y. Cheong, M Nordin B Zakaria and M. abdel-Aty

Authors Address :

HPC Service Center, Universiti Teknologi PETRONAS, Seri Iskandar, 31750 Tronoh, Perak, Malaysia

Authors Email:

nordinzakaria@petronas.com.my

Submitted at:

2013-01-18 08:56:08 PM

Abstract:

In this communication we discuss different aspects of multi-qubit system. Information dynamics of charge qubits coupled to a nanomechanical resonator under influence of both a phonon bath in contact with the resonator and irreversible decay of the qubits is considered. The focus of our analysis is devoted to multi-particle entanglement and the effects arising from the coupling to the reservoir. Even in the presence of the reservoirs, the inherent entanglement is found to be rather robust. Due to this fact, together with control of system parameters, the system may therefore be especially suited for quantum information processing.

#59

Title:

Parametric Estimation of Moving Average

Authors Name :

Authors Address :

Authors Email:

Submitted at:

2012-12-17 03:18:56 PM

Abstract:

We study a method for estimating parameters of a moving average process. The estimator, called RIVE is based on the idea that all the information for the parameters is transmitted through the sample and the noise effect becomes negligible when n tends to infinity. The case of the MA(1) process is studied. It is show that the estimator RIVE is consistent and asymptotically normal and provides a consistent estimator of the variance of the white noise process.

#58

Title:

Global existence for some triangular reaction-diffusion systems

Authors Name :

Authors Address :

Authors Email:

Submitted at:

2012-12-03 11:23:08 PM

Abstract:

The aim of this work is to prove the global existence of classical solutions for some triangular reaction-diffusion systems of two equations. This extends some similar results in the case of a diagonal diffusion-operator associated with nonlinearities preserving the positivity and the total mass of the solutions or for which the total mass is a priori bounded. For this purpose, we use the appropriate techniques which are based on comparison theorem and Lyapunov functional methods.

#57

Title:

Optimizing Least Square Support Vector Machine (LS-SVM) with Particle Swarm Optimization (PSO) Algorithm for Stock Price prediction

Authors Name :

Mustafa Abdul Salam  , Prof. Omar Soliman   , Prof. Osman Hegazy  

Authors Address :

at Higher Technological Institute (H.T.I) 10th of Ramadan City, Egypt  
Faculty of Computer and Informatics, Cairo University, Egypt 
Faculty of Computer and Informatics, Cairo University, Egypt 

Authors Email:

mustafa.abdo@ymail.com 
omar_soliman@hotmail.com 
Dr_Omar_soliman@yahoo.com 

Submitted at:

2012-11-26 12:20:27 AM

Abstract:

In this paper, Particle swarm optimization (PSO), a stochastic population-based evolutionary algorithm for problem solving is presented. PSO algorithm which has been successfully applied in many research and application areas is proposed to optimize least square support vector machine (LSSVM) to predict the daily stock prices. Stock market prediction is the act of trying to determine the future value of a company stock or other financial instrument traded on a financial exchange. The successful prediction of a stock's future price will maximize investor’s gains. The proposed model is based on the study of stocks historical data, technical indicators and optimizing LSSVM with PSO algorithm. PSO selects best free parameters combination for LS-SVM to avoid over-fitting and local minima problems and improve prediction accuracy. Artificial neural network trained with Levenberg-Marquardt (LM) algorithm is used as a benchmark for comparison with proposed algorithm. Results presented in this paper show the potential of PSO algorithm in optimizing LS-SVM.

#49

Title:

دراسة القساوة لخليطة اللحام الرباعية الخالية من الرصاص (Bi-Sn-In-Ag) وتحديد درجة حرارة انصهارها

Authors Name :

أحمد صبحي عيسى  , بيان زهير دويدري  , عبد القادر حريري 

Authors Address :

Authors Email:

Submitted at:

2012-11-17 02:33:51 PM

Abstract:

نالت خلائط اللحام الخالية من الرصاص اهتماماً خاصاً من الباحثين والعلماء الفيزيائيين في هذا العصر، لأسباب عديدة منها سمية الرصاص وأكثر خلائط اللحام شيوعاً هي الخلائط الثلاثية والرباعية. إن الهدف الرئيسي من هذا العمل هو دراسة الخواص الميكانيكية (القساوة المجهرية) والحرارية لخليطة اللحام (Bi-Sn-In-Ag) التي تكون مناسبة لاستخدامها في التطبيقات الالكترونية. في هذا البحث تمّ تحضير خلائط معدنية رباعية بطريقة التبريد السريع (تقنية الصهر المغزلي)، وأظهرت النتائج أن الخليطة الرباعية (Bi57Sn21In11Ag11) كانت ذات درجة انصهار أقل وذات قساوة جيدة بالمقارنة مع بقية الخلائط.

#48

Title:

دراسة الأثر الحراري والناقلية الكهربية لخلائط ثلاثية ورباعية أساسها القصدير

Authors Name :

أحمد صبحي عيسى  , بتول أحمد صباغ  , عبد القادر حريري 

Authors Address :

Authors Email:

Submitted at:

2012-11-17 02:28:28 PM

Abstract:

تعتبر خلائط المحامل ذات أهمية كبيرة في عالم الصناعة، وفي هذا البحث عمل تجريبي غايته دراسة خصائص هذه الخلائط لاستخدامها في تطبيقات صناعية محددة ومطلوبة مستقبلاً. تم في هذا البحث تحضير مجموعة من الخلائط الثلاثية والرباعية بطريقة التبريد السريع بالاعتماد على تقانة الصهر المغزلي ذات الدولاب المفرد. حيث استخدم جهاز التحليل الحراري التفاضلي(DTA) من أجل دراسة الخصائص الحرارية للخلائط المدروسة، وأفاد في تحديد درجة انصهار الخلائط حيث تبيّن أن الخليطة الثلاثية(Sn85Ag9Sb6) تملك أقل درجة انصهار وهي (C0300) وهذا ميدان الخلائط الثلاثية، أمّا في الخلائط الرباعية فقد تبيّن أن الخليطة (Sn85Ag9Sb4Zn2) هي التي تملك درجة الانصهار الأقل (250.4 C0). ولدى دراسة الخصائص الكهربية للخلائط المدروسة التي يندرج فيها تحديد الناقلية الكهربية، تبيّن أن الخليطة (Sn85Ag9Sb6) تتمتع بخصائص كهربية أفضل من بقية الخلائط الثلاثية، وأن الخليطة (Sn85Ag9Sb2Zn4) تملك أعلى قيمة للناقلية الكهربية.

#38

Title:

OPTIMAL CONTROL ANALYSIS OF LASSA FEVER WITH VACCINATION AND TREATMENTS

Authors Name :

Bakare Emmanuel Afolabi  , Yusuf Tajudeen Tunde 

Authors Address :

Department of Mathematics, Federal University Oye Ekiti, Ekiti State Nigeria 
Department of Mathematics, Federal University of Technology Akure 

Authors Email:

emmabak2000@yahoo.com 
ttyusuf@yahoo.com 

Submitted at:

2012-10-04 12:26:20 AM

Abstract:

We formulate and analyzed a compartmental deterministic model for the transmission of malaria disease. The model contain the systems of continuous time ordinary differential equations in compartments involving human and vector(Mastomys nastalensis i.e. Household Rat) population. We imposed a control parameter(vaccination) and treatments in order to prevent and treat the disease occurrence in human. Our model has a disease-free equilibrium that is globally asymptotically stable if the basic reproduction number is less than unity, while the endemic equilibrium exists and it is globally asymptotically stable whenever the basic reproduction number is greater than unity. We further use the optimal control theory , by deriving its necessary conditions for optimal control of the malaria disease using the Pontryagin’s Maximum Principle (PMP).We finally discussed results from our numerical simulation to illustrate our analytical results. Keywords: vaccination, Global stability, Basic reproduction number, Pontryagin’s Maximum Principle, Optimal system, Optimal control, Hamiltonian, Simulation.

#36

Title:

Quarter-Symmetric Non-Metric Connection On Trans-Sasakian Manifold

Authors Name :

CHINMOY PATRA  , A. Bhattacharyya 

Authors Address :

Jadavpur University 
Jadavpur University 

Authors Email:

patrachinmoy@yahoo.co.in 
aribh22@hotmail.com 

Submitted at:

2012-09-24 10:49:31 PM

Abstract:

In this paper we shall introduce a quarter-symmetric non-metric connection in a trans-Sasakian manifold and prove its existence. We shall discuss some properties of quarter-symmetric non-metric connection on trans-Sasakian manifold. Also we shall compare the quarter-symmetric non-metric connection with the Levi-Civita connection in trans-Sasakian manifold.

#34

Title:

Asymptotic Results of Simple Linear Regression Parameters Using Median Ranked Set Sampling

Authors Name :

Mohammad Al-Rawwash

Authors Address :

Department of Mathematics, University of Sharjah, UAE

Authors Email:

malrawwash@sharjah.ac.ae

Submitted at:

2012-09-09 01:52:23 PM

Abstract:

In recent work, Alodat et al. (2009) introduced estimators of the simple linear regression parameters using Median Ranked Set Sampling (MRSS) where the ranking was performed on the response variable. In this paper, we intend to obtain Fisher information matrix of these parameters to assess the amount of information contained in Median Ranked Set Sample compared to its counterpart contained in simple random sample (SRS). Our intention is to point out that, under the same sample size, Fisher information using MRSS contains more information than that contained in a SRS. Also, we present the Maximum Likelihood Estimator (MLE) using MRSS as well as SRS.

#33

Title:

The Role of Graph Theory in Solving Approximate Shortest Path Problems in 2D and 3D

Authors Name :

Phan Thanh An

Authors Address :

Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet road, 10307 Hanoi, Vietnam

Authors Email:

thanhan@math.ac.vn

Submitted at:

2012-08-27 07:59:16 PM

Abstract:

The problem to determine the Euclidean shortest path between two points in a simple polygon is very classical in motion planning. To date, all methods for solving this problem, as presented by Lee and Preparata in 1984, Mitchell in 2000, etc, rely on starting with a triangulation of a simple polygon and then rely on tools of graph theory (Dijkstra's algorithm/Thorup's algorithm for solving shortest path problems on graphs). In 2010, we present an efficient algorithm for determining convex ropes of a simple polygon and the convex hull for a finite set of points in 2D based on the idea of the method of orienting curves (introduced by Phu in 1987 for solving optimal control problems). These problems are variations of the shortest path problem in 2D and thus can be solved without triangulation algorithm and graph theory. There arises a question: Can we solve shortest path problems in 2D and in 3D without graph theory? In this talk, in 2D, based on the idea of the direct multiple shooting method (introduced by Bock in 1984 for solving optimal control problems) for the discretezation of the shortest paths in a simple polygon by cut segments parallel to y-coordinate 0y, we present an algorithm for finding the approximate shortest path between two points inside a simple polygon. It does not rely on triangulation of polygons and graph theory. In the same manner, in 3D, the discretization of the shortest paths on surface of a convex polytope is by cut slices parallel to the plane $x0y$. Then we present an algorithm for finding the approximate shortest path between two points surface of a convex polytope and show that graph tools (e.g., Dijkstra's algorithm/Thorup's algorithm) are crucial in the discretization above. Numerical examples are presented. Thus, in 3D, graph theory plays an crucial role in finding approximate shortest paths on surface of a convex polytope. This is a joint work with N. N. Hai, T. V. Hoai, and L. H. Trang.

#32

Title:

ON GENERALIZED 'PHI- RECURRENT TRANS - SASAKIAN MANIFOLDS

Authors Name :

DIPANKAR DEBNATH

Authors Address :

BAMANPUKUR HIGH SCHOOL

Authors Email:

dipankardebnath123@gmail.com

Submitted at:

2012-08-27 06:17:19 PM

Abstract:

The object of the present paper is to study generalized 'phi-recurrent trans-Sasakian manifolds. It is proved that a generalized 'phi-recurrent trans-Sasakian manifold is an Einstein manifold. Also we obtained a relation between the associated 1-forms A and B for a generalized 'phi-recurrent and generalized concircular 'phi-recurrent trans-Sasakian manifolds and finally proved that a three dimensional locally generalized 'phi-recurrent trans-Sasakian manifold is of constant curvature.

#1

Title:

Mathematical Models Of Polimerization Proceses

Authors Name :

Aiman Ospanova  , Meruyert Berdieva  , Tamara Zhukabayeva 

Authors Address :

Shymkent, Kazakhstan 
Shymkent 160012, Kazakhstan 
Kazakhstan,Tauke khan avenue 5, Shymkent 

Authors Email:

aim@mail.ru 
meruert_berdieva@mail.ru 
tamara_kokenovna@mail.ru 

Submitted at:

2012-06-04 09:43:38 PM

Abstract:

The work presents a new approach of modeling industrial reactors to receive polymer plastics. The efficient method of identifying stochastic model is suggested, at which unaccounted chance factors are presented as integrated disturbances. The models, received at which allow to take into consideration both the structure of flows in reactors and kinetic peculiarities of the process.