Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

被引：2

作者：

Liu, Yanqin ^{[1
,2
]}

机构：

[1] Dezhou Univ, Dept Math, Dezhou 253023, Peoples R China

[2] Tianjin Univ, Nonlinear Dynam & Chaos Grp, Sch Management, Tianjin 30072, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

美国国家科学基金会; 中国博士后科学基金;

关键词：

DECOMPOSITION METHOD; DIFFUSION EQUATION; NUMERICAL-SOLUTION; ITERATIVE METHODS;

D O I：

10.1155/2012/752869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

引用

页数：14

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