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

被引：52
作者：
Saad, K. M. [1 ,2 ]
Al-Sharif, Eman H. F. [1 ,2 ]
机构：
[1] Najran Univ, Dept Math, Coll Arts & Sci, Najran 61441, Saudi Arabia
[2] Taiz Univ, Fac Sci Appl, Dept Math, Taizi, Yemen
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
variational iteration method; space-time fractional Burgers equation; different initial values; HOMOTOPY ANALYSIS METHOD; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; INITIAL CONDITIONS; TRANSPORT;
D O I：
10.1186/s13662-017-1358-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：15
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