Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

被引：115

作者：

Liu, Jincun ^{[1
]}

Hou, Guolin ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 16期

关键词：

Fractional coupled Burgers equations; Caputo fractional derivative; Differential transform method; Numerical solutions; Generalized Taylor series formula; ALGORITHM;

D O I：

10.1016/j.amc.2011.01.111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by introducing the fractional derivative in the sense of Caputo, the generalized two-dimensional differential transform method (DTM) is directly applied to solve the coupled Burgers equations with space-and time-fractional derivatives. The presented method is a numerical method based on the generalized Taylor series formula which constructs an analytical solution in the form of a polynomial. Several illustrative examples are given to demonstrate the effectiveness of the generalized two-dimensional DTM for the equations. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.

引用

页码：7001 / 7008

页数：8

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