Numerical approach of fisher's equation with strang splitting technique using finite element galerkin method

Authors : Melike Karta

Pages : 344-355

View : 42 | Download : 38

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :In the present paper, non-linear Fisher’s reaction-diffusion equation is solved numerically by using Strang splitting technique with the help of Galerkin method combined with quadratic B-spline base functions. For this aim, Fisher’s equation is split into two sub-equations with respect to time such that one is linear and the other one is nonlinear. Galerkin method using quadratic B-spline finite elements is applied to each sub-equation. To check the correctness and reliability of the presented approach, we have realized on three numerical examples and have made a comparison with earlier studies existing in the literature calculating the error norms norms ????2 ???????????? ????∞ .The solutions obtained in the article show that the present method is quite proper for using many partial differential equations in terms of being easy and conve-nient to computer application.
Keywords : Symmetric Strang Splitting, Reaction Diffusion Equation, Quadratik B Splines, Finete Element Method

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