A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach

被引：135

作者：

Yang, Xiao-Jun ^{[1
]}

Tenreiro Machado, J. A. ^{[2
]}

Srivastava, H. M. ^{[3
,4
]}

机构：

[1] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China

[2] Polytech Porto, Dept Elect Engn, Inst Engn, P-4249015 Oporto, Portugal

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[4] China Med Univ, Taichung 40402, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 274卷

关键词：

Numericalsolution; Extended differential transform method; Diffusion equation; Local fractional derivatives; Partial differential equations; FRACTAL MEDIA; CALCULUS; ORDER;

D O I：

10.1016/j.amc.2015.10.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its associated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：143 / 151

页数：9

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