The Series Solution of Problems in the Calculus of Variations via the Homotopy Analysis Method

被引：13

作者：

Abbasbandy, Saeid ^{[1
]}

Shirzadi, Ahmand ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 1-2期

关键词：

Calculus of Variations; Euler-Lagrange Equation; Homotopy Analysis Method; HEAT-TRANSFER ANALYSIS; ITERATION METHOD; EQUATIONS; FLOW;

D O I：

10.1515/zna-2009-1-205

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The homotopy analysis method (HAM) is used for solving the ordinary differential equations which arise from problems of the calculus of variations. Some numerical results are given to demonstrate the validity and applicability of the presented technique. The method is very effective and yields very accurate results.

引用

页码：30 / 36

页数：7

共 33 条

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