My interest area is Applied Mathematics and solve models numerically and analytically in different fields, Physics, Chemistry, Biology and Engineering. My experience in teaching is in different topics for undergraduate from Mathematics department such as Calculus, Differential Equations, Partial differential equations , Numerical analysis, Foundation of Mathematics, Linear Algebra, Applied Mathematics, Academic debate. Postgraduate topics I taught, Advanced numerical method, Perturbation theory, Advanced simulation methods, Mathematical physics and Research methodology.
My Experience is also in using program software's such as MATLAB, MAPLE, COMSOL MULTIPHYSICS and PYTHON.
The mechanism of pattern formations has been widely studied and for different types of Reaction-Diffusion equations.
This phenomenon has a wide range of applications in the fields of biology, chemistry, engineering, etc. In this paper, we have
studied the pattern formation for a Reaction–Diffusion model with nonlinear reaction terms; this equation is different from RDM
which has been studied before, and which derived from the interaction between Turing stationery and wave instability. Next, we
study the possible traveling wave solution for our RDM and their stability close to the steady states. We discretize the system of
Reaction-diffusion equations in one dimension using Semi-Implicit second-order difference method and we investigate the different
types of travelling wave solutions (TWS). A finite element package namely COMSOL Multiphysics is used to show some types
of pattern formations and for two types of initial conditions. The initial conditions are chosen to investigate the type of spots that
can be formulated from the interaction. In parallel, we have proved theoretically the regions where those pattern formations can be
found depending on the value of the diffusion coefficients and wave number
2023-10
2019 International Conference on Advanced Science and Engineering (ICOASE),
(القضية : 978)
(الحجم : 5386)
In this paper, the optical properties of a pinhole nanorod are studied using finite element package (COMSOL Multiphysics). Both electric and magnetic field distribution for different radius of a hollow nanorod and variable pinhole position has been measured. Furthermore, the scattering cross-section for both fields is calculated. The magnetic field enhancement has been increased by adding a pinhole made of air. The magnetic field enhancement improved 20 percent. In case of scattering cross-section, the response is changed as a function of the pinhole position and diameter. The results provide the ability to tune optical properties through an appropriate geometric feature of the nanorods.
2019-09
2019 International Conference on Advanced Science and Engineering (ICOASE),
(القضية : 978)
(الحجم : 1)
New Types of Pattern Formations in a new Reaction-Diffusion Model using Numerical Methods
Pattern formations as mathematical models are grows significantly and the development in subject analysis and the type of mathematical tools offer a wide range in the research aspects. The paper shows results and analysis for a novel reaction-diffusion model, which has unstable features, and satisfy the Turing instability conditions when the diffusion coefficient becomes large enough. Two methods are used to analysis this model, namely semi-implicit finite different method and the analysis Finite element method with utilize of COMSOL Multiphysics software. The conditions of diffusion-driven instability are shown and the effect of diffusion coefficient in changing the state of the model to be unstable is explained. Travelling wave solutions for this model in one dimension are founded and compared using the mentioned two methods. Finally, pattern formations for this model are shown in two dimensions and for different values of diffusion coefficients.
2019-09
INCAS Bulletin
(القضية : 2)
(الحجم : 9)
Unsteady Flow in a Horizontal Double-Sided Symmetric Thin Liquid Films
Unsteady Flow in a Horizontal Double-Sided Symmetric Thin Liquid Films
2017-09
International Journal of ADVANCED AND APPLIED SCIENCES
(القضية : 4)
(الحجم : 4)
Pattern formation for a type of reaction diffusion system with cross diffusion
DOI: 10.21833/ijaas.2017.04.004
2017-02
International Conference on Advanced Science and Engineering (ICOASE)
(القضية : 2)
(الحجم : 1)
Pattern Formation for a New Model of Reaction-Diffusion System
The applications of pattern formation in nature attract a huge number of researchers and thus increase the production of researches in this field. In this paper, we introduce a new model of the reaction-diffusion system which satisfies Turing conditions and formulates complicate solutions such as pattern formation. We used for finding the numerical results and forming the patterns software COMSOL Multiphysics finite element package. We have discussed the condition of diffusion-driven instability theoretically and showed the region where these conditions can be satisfied. It was shown that the key fact for instability and the existence of pattern formation is the diffusion coefficient d. When d is large enough we can construct pattern formation with variants rings. The number of rings increases as the domain we use for study increases. Finally, we compared our results to real patterns in nature and we show how they matched together.
2017-02
International journal of ADVANCED AND APPLIED SCIENCES
(القضية : 3)
(الحجم : 8)
Steady flow of horizontal double‐sided symmetric thin liquid films
Steady flow of horizontal double‐sided symmetric thin liquid films
2016-08
Journal of University of Zakho
(القضية : 1)
(الحجم : 4)
Approximate Solutions for A Model of Reaction-Diffusion System with Slow Reaction and Fast Diffusion
In this paper, perturbation and finite difference methods are used to solve a reaction diffusion system. This system is modeled for describing the interaction between species in ecology. The interaction is interpreted as traveling wave solutions for both species under three types of initial conditions which describe some ecological cases. Types of traveling wave solutions are found and studied using numerical and approximate methods when there exists a small parameter appear in one of the equation. The solutions of the two methods are compared and show a good agreement
2016-06
Indian journal of computer science and engineering(IJCSE)
(القضية : 4)
(الحجم : 7)
Numerical and Analytical solutions for a nonlinear reaction diffusion system
Numerical and Analytical solutions for a nonlinear reaction diffusion system
2016-02
International Journal of Mathematical and Computational Methods
(القضية : 1)
(الحجم : 1)
A Comparison Between Finite Dierence and Asymptotic Methods for Solving a Reaction-Diffusion Model in Ecology
A Comparison Between Finite Difference and Asymptotic Methods for Solving a Reaction-Diffusion Model in Ecology
2016-02
British Journal of Mathematics and Computer Science
(القضية : 2)
(الحجم : 11)
Approximate Solutions for a Couple of Reaction-diffusion Equations with Self-diffusion
Approximate Solutions for a Couple of Reaction-diffusion Equations with Self-diffusion
The applications of pattern formation in nature attract a huge number of researchers and thus increase the production of researches in this field. In this paper, we introduce a new model of the reaction-diffusion system which satisfies Turing conditions and formulates complicate solutions such as pattern formation. We used for finding the numerical results and forming the patterns software COMSOL Multiphysics finite element package. We have discussed the condition of diffusion-driven instability theoretically and showed the region where these conditions can be satisfied. It was shown that the key fact for instability and the existence of pattern formation is the diffusion coefficient d. When d is large enough we can construct pattern formation with variants rings. The number of rings increases as the domain we use for study increases. Finally, we compared our results to real patterns in nature and we show how they matched together.
IEEE xplore, International Conference on Advanced Science and Engineering (ICOASE)
2016-10
Pattern Formation for a New Model of Reaction-Diffusion System
The applications of pattern formation in nature attract a huge number of researchers and thus increase the production of researches in this field. In this paper, we introduce a new model of the reaction-diffusion system which satisfies Turing conditions and formulates complicate solutions such as pattern formation. We used for finding the numerical results and forming the patterns software COMSOL Multiphysics finite element package. We have discussed the condition of diffusion-driven instability theoretically and showed the region where these conditions can be satisfied. It was shown that the key fact for instability and the existence of pattern formation is the diffusion coefficient d. When d is large enough we can construct pattern formation with variants rings. The number of rings increases as the domain we use for study increases. Finally, we compared our results to real patterns in nature and we show how they matched together.
BAMC
2012-03
British Applied Mathematics Colloquium
University College Lon- don, U.K.
BAMC
2011-03
British Applied Mathematics Colloquium (BAMC)
University of Birmingham. U.K.
Models in Population Dynamics and Ecology
2010-09
Models in Population Dynamics and Ecology, University of Leicester (UK)
Leicester (UK)
الدورات التدريبية
2018-04-01,2016-10-01
Simulation a Nanorod model
Numerical techniques are used to simulate a nanorod model and study of optical properties such as electric and magnetic enhancement using Finite element method. This work is done in university of Oldenburg-Germany