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

被引:1
|
作者
Karta, Melike [1 ]
机构
[1] Agri Ibrahim Gecen Univ, Dept Math, TR-04100 Agri, Turkiye
关键词
Symmetric Strang Splitting; Reaction-Diffusion Equation; Quadratik B-Splines; Finete Element Method; B-SPLINE ALGORITHM; SCHEMES;
D O I
10.14744/sigma.2023.00041
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 L-2 and L-infinity .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.
引用
收藏
页码:344 / 355
页数:12
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