SOLVING SCHRODINGER EQUATION BY USING MODIFIED VARIATIONAL ITERATION AND HOMOTOPY ANALYSIS METHODS

被引：0

作者：

Behzadi, Sh. Sadigh ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2011年 / 1卷 / 04期

关键词：

Schrodinger equation; Variational iteration method; Modified variational iteration method; Homotopy analysis method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear Schrodinger equation is solved by using the variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM) numerically. For each method, the approximate solution of this equation is calculated based on a recursive relation which its components are computed easily. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the given algorithms.

引用

页码：427 / 437

页数：11

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