Numerical Solution for Solving Burger's-Fisher Eguation by Using Iterative Methods

Mathematical and Computational Applications

Behzadi, Sh.Sadigh¹ 

关键词: Burger’s-Fisher equation;    Adomian decomposition method;    Modified Adomian decomposition method;    Variational iteration method;    Modified variational iteration method;    Modified homotopy perturbation method;    Homotopy analysis method;   

DOI  :  10.3390/mca16020443

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper, a Burger’s-Fisher equation is solved by using the Adomian’s decomposition method (ADM) , modified Adomian’s decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM), modified homotopy perturbation method (MHPM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.

【 授权许可】

CC BY