SOLUTIONS OF HELMHOLTZ EQUATIONS BY VARIATIONAL ITERATION METHOD

被引：2

作者：

Chen, Ruyun ^{[1
]}

Xiang, Shuhuang ^{[2
]}

机构：

[1] Guangdong Ocean Univ, Dept Sci, Zhanjiang 524088, Guangdong, Peoples R China

[2] Cent S Univ, Dept Math, Changsha 410083, Hunan, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2009年 / 23卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Helmholtz equation; variational iteration method; analytic solution; HOMOTOPY PERTURBATION METHOD; ASYMPTOTIC METHODS;

D O I：

10.1142/S0217984909020096

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this letter, we discuss an application of the variational iteration method on obtaining series solution and exact solution of Helmholtz equation with initial conditions. The suggested algorithms are quite efficient and are practically well-suited for use in this class of equation. The proposed iterative schemes find the solution without any need to discretize the variables. The results reveal the advantages of the method for Helmholtz equation.

引用

页码：1935 / 1945

页数：11

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