Analytical study for time and time-space fractional Burgers’ equation

Advances in Difference Equations

KM Saad¹  Eman HF Al-Sharif² 

[1] Department of Mathematics, College of Arts and Sciences, Najran University, Najran, Saudi Arabia;Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz, Yemen

关键词: variational iteration method;    space-time fractional Burgers equation;    different initial values;   

DOI  :  10.1186/s13662-017-1358-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the variational iteration method (VIM) is applied to solve the time and space-time fractional Burgers’ equation for various initial conditions. VIM solutions are computed for the fractional Burgers’ equation to show the behavior of VIM solutions as the fractional derivative parameter is changed. The results obtained by VIM are compared with exact solutions and also with expansions of the exact solutions. VIM solutions are found to be in excellent agreement with these exact solutions.

【 授权许可】

CC BY