Numerical treatment of fractional order Cauchy reaction diffusion equations

被引：21

作者：

Ali, Sajjad ^{[1
]}

Bushnaq, Samia ^{[1
,2
]}

Shah, Kamal ^{[1
,3
]}

Arif, Muhammad ^{[1
]}

机构：

[1] Abdul Wali Khan Univ, Dept Math, Mardan, Pakistan

[2] Princess Sumaya Univ Technol, Dept Sci, Amman 11941, Jordan

[3] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 103卷

关键词：

Optimal homotopy asymptotic method; Fractional order Cauchy reaction diffusion equations; Analytical and approximate solution; HOMOTOPY ASYMPTOTIC METHOD;

D O I：

10.1016/j.chaos.2017.07.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, an approximate method for the numerical solutions of fractional order Cauchy reaction diffusion equations is considered. The concerned method is known as optimal homotopy asymptotic method (OHAM). With the help of the mentioned method, we handle approximate solutions to the aforesaid equation. Some test problems are provided at which the adapted technique has been applied. The comparison between absolute and exact solution are also provided which reveals that the adapted method is highly accurate. For tabulation and plotting, we use matlab software. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：578 / 587

页数：10

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