On the Reconstruction of the First Term in the Variational Iteration Method for Solving Differential Equations

被引：2

作者：

Tatari, Mehdi ^{[2
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 03期

关键词：

Variational Iteration Method; Initial Term; Differential Equations; Partial Differential Equations; Integral Equations; APPROXIMATE SOLUTION; INITIAL CONDITIONS; BURGERS EQUATIONS;

D O I：

10.1515/zna-2010-0308

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 well-known He's variational iteration method is an efficient and easy technique for finding the solution of various kinds of problems. In this method the solution of a nonlinear problem is found without any need to solve a linear or nonlinear system of equations. In the current work we present an idea for accelerating the convergence of the resulted sequence to the solution of the problem by choosing a suitable initial term. The efficiency of the method will be shown by testing the new algorithm on several examples.

引用

页码：203 / 208

页数：6

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