An efficient algorithm for solving Troesch's problem

被引：63

作者：

Feng, Xinlong ^{[1
]}

Mei, Liquan

He, Guoliang

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 01期

关键词：

Troesch's problem; homotopy perturbation technique; Taylor expansion; variational iteration method; adomian decomposition method;

D O I：

10.1016/j.amc.2006.11.161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new algorithm is presented for solving Troesch's problem. The numerical scheme based on the modified homotopy perturbation technique is deduced. Some numerical experiments are made. Compared with the variational iteration method and the Adomian decomposition method, the scheme is shown to be highly accurate, and only a few terms are required to obtain accurate computable solutions. Finally, the algorithm is applied to other problems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：500 / 507

页数：8

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