- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Cilt: 41 Sayı: 2
- Numerical approach of fisher\'s equation with strang splitting technique using finite element galerk...
Numerical approach of fisher\'s equation with strang splitting technique using finite element galerkin method
Authors : Melike Karta
Pages : 344-355
View : 10 | Download : 31
Publication Date : 2023-04-30
Article Type : Research
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