Numerical simulations of the Boussinesq equation by He's variational iteration method

被引：9

作者：

Yusufoglu, Elcin ^{[1
]}

Bekir, Ahmet ^{[1
]}

机构：

[1] Dumlupinar Univ, Art & Sci Fac, Dept Math, Kutahya, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 04期

关键词：

variational iteration method; Lagrangian multiplier; nonlinear dispersive waves model; bad Boussinesq equation; good Boussinesq equation; NONLINEAR DIFFERENTIAL-EQUATIONS; TRAVELING-WAVE SOLUTIONS; SINE-COSINE METHOD; TANH METHOD; PERTURBATION TECHNIQUE; APPROXIMATE SOLUTION; PERIODIC-SOLUTIONS; SOLITON-SOLUTIONS; BURGERS; PRINCIPLES;

D O I：

10.1080/00207160701689542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a reliable algorithm to study the well-known model of nonlinear dispersive waves proposed by Boussinesq. We solve the Cauchy problem of Boussinesq equation using variational iteration method (VIM). The numerical results of this method are compared with the exact solution of an artificial model to show the efficiency of the method. The approximate solutions show that VIM is a powerful mathematical tool for solving nonlinear problems.

引用

页码：676 / 683

页数：8

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