Numerical simulation of the generalized regularized long wave equation by He’s variational iteration method

2005 ◽  
Vol 70 (2) ◽  
pp. 119-124 ◽  
Author(s):  
A.A. Soliman
Keyword(s):  
Numerical Simulation ◽  
Wave Equation ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
He’S Variational Iteration Method

scholarly journals Optimal Homotopy Asymptotic Method to Nonlinear Damped Generalized Regularized Long-Wave Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
R. Nawaz ◽  
S. Islam ◽  
I. A. Shah ◽  
M. Idrees ◽  
H. Ullah
Keyword(s):  
Wave Equation ◽  
Approximate Solution ◽  
Asymptotic Method ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Numerical Examples ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
Optimal Homotopy Asymptotic Method ◽  
2D Images

A new semianalytical technique optimal homology asymptotic method (OHAM) is introduced for deriving approximate solution of the homogeneous and nonhomogeneous nonlinear Damped Generalized Regularized Long-Wave (DGRLW) equation. We tested numerical examples designed to confine the features of the proposed scheme. We drew 3D and 2D images of the DGRLW equations and the results are compared with that of variational iteration method (VIM). Results reveal that OHAM is operative and very easy to use.

scholarly journals Application of He’s Variational Iteration Method to Nonlinear Integro-Differential Equations

2010 ◽  
Vol 65 (5) ◽  
pp. 418-430 ◽  
Author(s):  
Ahmet Yildirim
Keyword(s):  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Mathematical Tool ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Powerful Mathematical Tool

In this paper, an application of He’s variational iteration method is applied to solve nonlinear integro-differential equations. Some examples are given to illustrate the effectiveness of the method. The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations

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