EPU - جامعة إيبلا الخاصة

Professor

Prof. Bashir Nour Kharrat

▪ Bachelor's degree in Mathematical Sciences - University of Aleppo – 1972

▪ Diploma of Deep Studies - (DEA) - University of the French - Comte - Besançon - France = 1977.

▪ Ph.D. in the third cycle (3iem cycle) - University of the French - Comte - Besançon - France = 1979.

▪ State Doctorate in Science (Doctorat d'état) University of the French-Comté-Besançon-France = 1982.

Contact

Bachir.kharat@ebla.edu.sy

Experiences:

▪ Instructor in the Department of Mathematics - Faculty of Science, Aleppo University, 1982.

▪ Assistant Professor, Department of Mathematics, Faculty of Science, Aleppo University, 1987.

▪ Head of Mathematics Department, Faculty of Science, Aleppo University, 1988-1984.

▪ Vice Dean of the Faculty of Science - Aleppo University 1996-1988.

▪ Professor in the Department of Mathematics 1993.

▪ Vice President of Ittihad Private University 0206-2009.

▪ Head of Mathematics Department - Faculty of Science, Aleppo University 2013-2018.

▪ Emeritus Professor at Ebla Private University (Fully on Angels) from 2020 to date.

Supervising about fifty graduation projects in applied mathematics.

Supervising and awarding about twenty-five master's degrees in applied mathematics and computer science.

Supervising and awarding seven doctorate degrees in applied mathematics and computer science.

Participation in many local and international scientific conferences.

- Authored seven university books in applied mathematics published at the University of Aleppo.

Researches:

Effect of perturbation and oblateness of smaller primary on the linear stability in the restricted problem of three bodies.

The effect of perturbation in the coriolis and the centrifugal forces and oblateness of smaller primary on the stability of the triangular points in the restricted problem of the three bodies has been studied. - R.J.of Aleppo Univ,No15

Approximate solution for partial differential equations of a non –homogeneous thick plat.

In this paper, we give a model of a Love-Kirshoff plate white periodic Cauchey Boundary conditions that means a mechanical structure in the linear elasticity theory, which is fixed punctually. We show that a mechanical frame which is fixed punctually has a behavior witch is near to the behavior of an entirely clamped structure. For this purpose we use a modified homogenization theory. And we give an estimation of the difference between the exact and approximate solution in regard to the number of fixation points. نقترح في هذا البحث نموذجاً رياضياً لتمثيل السلوك الميكانيكي المقارب لصفيحة مرنة من نوع لوف-كيرشوف مثبتة من حدودها بشكل نقطي وذلك باستخدام تقنية نظرية التجانس بعد تطويرها. حيث أن طريقة التجانس تسمح بالتغلب على الصعوبة الناتجة عن التجزئة الكبيرة جداً للمنطقة ،وذلك باستبدال المسألة الأصلية المعرفة على منطقة غير متجانسة وذات الخواص المتغيرة بشكل دوري بمسألتين معرفتين على خلية واحد (أي دور Y ( واللتين يتطلب حلهما عددياً جهداً ووقتاً أقل من المسألة الأصلية. - 1st.sci.conf Al-AzharUniv.fac.sci

Approximate solution for partial differential equations of a non-homogeneous thick plate

In this paper, we give an approximate mathematical model of a periodically non-homogeneous Love-Kirchhoff plate with periodic inclusions or perforations. Dealing with the variational formulation, we prove the existence and the uniqueness of a weak solution. The asymptotic expansion is used to derive the homogenized approximate problem and the first correction term. The use of the finite element method in such case is very complicated. The homogenization method 1,6 leads to replace this complicated finite element problem in the whole domain by two simple problems in one cell Y. - Mans.Sci.Bull.vol22(2) P137-148

Developing the Steepest Descent Method to Obtaine the Elementary Voltages for the Aleppo Electrical Networkand Using it in Broyden Method

- R.J.of Aleppo Univ No5o 2006.

Application the Generalized Steepest Descent Method to Obtain the Elementary Voltages for the Aleppo Electrical Network and Using it in Broyden Method

- .. R.J.of Aleppo Univ No52.

. - Approximate solution for boundary value problem corresponding to periodically non-homogeneous Love-Kirchhoff plate.

- Fourth Saudi conference on science K.S.A.

Influence of Discretization Methods on Digital Low Pass Filter Performance

In this paper we study the influence of discretization methods that transform continuous systems to digital systems. This evaluation is applied on the performance of a digital filter used to detect a dumped sinusoidal signal. We consider the comparison between zeros and poles locations in the unit circle. In addition, we compare the time and frequency response, according to specific criteria. As a result, we find that the method of Bilinear (Tustin) approximation can be considered the best compared with other discretization methods. - Aleppo univ.Basic Science No71

Modeling of a Boundary Value Problem with periodic mixed type of Boundary Conditions

The aim of this paper is to study the Eigenvalueproblems with periodic boundary conditions. Dealing with the variational formulation, we prove the existence of the Eigenvalues and eigenvectors corresponding to mechanical structure, which is fixed punctually. The asymptotic expansions is used to derive the first correction term and the homogenized eigenvalue problem corresponding to an entirely clamped structure. Keywords:Eigenvalueproblems,periodic boundary conditions, Boundary value problem ,Approximate solutions, homogenization theory, - R.J.of Aleppo University, Basic Science Series, No58

Studying Mathematical model of Boundary Value problem to perturbed vibrations of silicon diaphragm in Mems capacitive Microphone

The traditional perturbation methods depend on a “small parameter” which is difficult to be determined for some real-applications .To overcome address this shortcoming, A new powerful semi-analytical method the Adomian decomposition method (ADM) is introduced to approximate the deflection of polysilicon diaphragm with small flexural rigidity of Micro Electro Mechanical System (MEMS) capacitive microphone. Using the theory of semigroup we prove the existence and the uniqueness of the solution of considered problem. Also, special attention to prove the convergence of the proposed method is given. Some numerical simulation and comparisons between the approximate solutions obtained by the application of the ADM with that obtained by the VIM are made to confirm the reliability and the accuracy of the applied method. The approximations obtained by ADM are uniformly valid not only for small parameters, but also for very large parameters. - R.J.of Aleppo University, Basic ScienceSeries No.74

Comparative Study of Approximation Methods for Digital Filters Design Used in Damped Sinusoidal Wave Detection

This research is the first step in the design of digital filters used to detect a dumped sinusoidal signal. The effect of approximation methods on the obtained digital filter is evaluated. This evaluation is based on optimality criteria which were adopted and improved to distinguish the best response in the concerned application. - R.J.of Aleppo University, Basic SciencesNo71

Homotopy Perturbation Method in Solving Nonlinear Boundary Value

In this paper, we present a modification to homotopy perturbation method for solving nonlinear Boundary value problems. Some examples are given, revealing its effectiveness and convenience. Also the results obtained by modified homopy perturbation method (MHPM) is superior to that obtained by the original homotopy perturbation method - World Applied Sciences Journal 37 (8): 695-699.

Approximate Solution Corresponding To Periodically Heterogeneous Love-Kirchhoff Plate,

Developing the Steepest Descent Method to Obtain the Elementary Solution to the Electrical Networks Problem and Using it in Broyden Method

Mathematical modelling plays a fundamental role in all science domains. By using it, we can construct mathematical models of several problems. Solving these models, mostly, depends on approximate methods, and when these models are represented by system of linear or nonlinear equations, the most equations have no exact solution .It is necessary to search for approximate solution by using numerical method such as Gauss, Gauss.Zaidl, Fixed Point, Newton, and Broyden methods. Beginning from an elementary value, which is chosen by estimation, and depending upon it to determine the speed of convergence and accuracy of the solution which we get by a certain accuracy. - R. J. of Aleppo Univ.

Application the Generalized Steepest Descent Method to Obtain the Elementary Voltages for the Aleppo Electrical Network and Using it in Broyden Method

Mathematical modeling is used in different science domains. By using it we can construct several mathematical models. Solving these models, mostly, depend on numerical approximate methods, and especially the case when these models are represented by the system of linear or nonlinear equations. To solve these equations we depend on generation solutions with repeated forms such as Gauss, Gauss. Zaidl, Fixed Point, Newton, and Broyden methods. Beginning from an elementary value, which is a chosen estimation, and on which we depend, we determine the speeding of the convergence and the accusation of the solution which we get by certain accuracy. Problem compute voltages in Aleppo city network nodes to return (to give bake) into solve system linear or nonlinear equations, we obtained these variable in nodes network by considering it to consist of load nodes, control nodes and only one reference node. - R. J. of Aleppo Univ.

Combine Kharrat-Toma Transform and Variational Iteration Method to Solve Nonlinear Boundary Value Problems

: In the present work, variational iteration method is combined with Kharrat-Toma transform methodto solve nonlinear problems. Some illustrative numerical examples are given. The solutions obtained by thismethod show the accuracy and the efficiency of the suggested combined method. - World Applied Sciences Journal

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