Improvement of He's variational iteration method for solving systems of differential equations

Authors:
Mehdi Tatari;Mehdi Dehghan
Affiliations:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, Iran
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 13
Cited 5

Variational iteration method for autonomous ordinary differential systems

Applied Mathematics and Computation
Variational iteration method for solving Burger's and coupled Burger's equations

Journal of Computational and Applied Mathematics
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

Mathematics and Computers in Simulation
Variational iteration method-Some recent results and new interpretations

Journal of Computational and Applied Mathematics
On the convergence of He's variational iteration method

Journal of Computational and Applied Mathematics
Numerical solution of a biological population model using He's variational iteration method

Computers & Mathematics with Applications
Variational iteration method: New development and applications

Computers & Mathematics with Applications
Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem

Journal of Computational and Applied Mathematics
On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments

Computing
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations

Computers & Mathematics with Applications
Variational iteration method for solving a generalized pantograph equation

Computers & Mathematics with Applications
The use of He's variational iteration method for solving variational problems

International Journal of Computer Mathematics
Solution of a model describing biological species living together using the variational iteration method

Mathematical and Computer Modelling: An International Journal

He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations

Computers & Mathematics with Applications
Variational iteration method for solving a generalized pantograph equation

Computers & Mathematics with Applications
On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations

Journal of Computational and Applied Mathematics
A study on the convergence of variational iteration method

Mathematical and Computer Modelling: An International Journal
A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He's variational iteration method. This method is a very powerful method for solving a large amount of problems. It provides a sequence which converges to the solution of the problem without discretization of the variables. In this work an idea is proposed that accelerates the convergence of the sequences which result from the variational iteration method for solving systems of differential equations. Illustrative examples are presented to show the validity of the new method.