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

共 50 条

[1] Numerical simulation of the generalized Huxley equation by He's variational iteration method
Batiha, B.
Noorani, M. S. M.
Hashim, I.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 1322 - 1325
[2] Modified variational iteration method for Boussinesq equation
Abassy, Tamer A.
El-Tawil, Magdy A.
El-Zoheiry, H.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 955 - 965
[3] Numerical solution of the Klein–Gordon equation via He’s variational iteration method
Fatemeh Shakeri
Mehdi Dehghan
Nonlinear Dynamics, 2008, 51 : 89 - 97
[4] MODIFIED VARIATIONAL ITERATION METHOD FOR VARIANT BOUSSINESQ EQUATION
Lu, Jun-Feng
THERMAL SCIENCE, 2015, 19 (04): : 1195 - 1199
[5] Application of He's variational iteration method to Helmholtz equation
Momani, S
Abuasad, S
CHAOS SOLITONS & FRACTALS, 2006, 27 (05) : 1119 - 1123
[6] Solution of Singular Equation by He's Variational Iteration Method
Mohyud-Din, Syed Tauseef
Noor, Muhammad Aslam
Noor, K. I.
Hosseini, M. M.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 (02) : 81 - 86
[7] Numerical Simulation of the Modified Regularized Long Wave Equation by He's Variational Iteration Method
Labidi, Manel
Omrani, Khaled
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (02) : 478 - 489
[8] Numerical simulation of the generalized regularized long wave equation by He's variational iteration method
Soliman, AA
MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (02) : 119 - 124
[9] Numerical solution of the Klein-Gordon equation via He's variational iteration method
Shakeri, Fatemeh
Dehghan, Mehdi
NONLINEAR DYNAMICS, 2008, 51 (1-2) : 89 - 97
[10] He's variational iteration method for the modified equal width equation
Lu, Junfeng
CHAOS SOLITONS & FRACTALS, 2009, 39 (05) : 2102 - 2109

← 1 2 3 4 5 →