Comparison of the Adomian decomposition method with homotopy perturbation method for the solutions of seventh order boundary value problems

被引：7

作者：

Siddiqi, Shahid S. ^{[1
]}

Iftikhar, Muzammal ^{[1
,2
]}

机构：

[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan

[2] Univ Educ, Dept Math, Okara 56300, Pakistan

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 24期

关键词：

Adomian decomposition method; Green's function; Homotopy perturbation method; Seventh order boundary value problems; Linear and nonlinear problems; Series solution; PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; CONVERGENCE; SERIES;

D O I：

10.1016/j.apm.2014.05.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to compare the Adomian decomposition method and the homotopy perturbation method for solving the linear and nonlinear seventh order boundary value problems. The approximate solutions of the problems obtained with a small amount of computation in both methods. Two numerical examples have been considered to illustrate the accuracy and implementation of the methods. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：6066 / 6074

页数：9

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