Journal of Applied Mathematics

Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method

Taher A. Nofal

Full-text: Open access

Abstract

We have used the modified variational iteration method (MVIM) to find the approximate solutions for some nonlinear initial value problems in the mathematical physics, via the Burgers-Fisher equation, the Kuramoto-Sivashinsky equation, the coupled Schrodinger-KdV equations, and the long-short wave resonance equations together with initial conditions. The results of these problems reveal that the modified variational iteration method is very powerful, effective, convenient, and quite accurate to systems of nonlinear equations. It is predicted that this method can be found widely applicable in engineering and physics.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 370843, 19 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495216

Digital Object Identifier
doi:10.1155/2012/370843

Mathematical Reviews number (MathSciNet)
MR2948160

Zentralblatt MATH identifier
1251.65148

Citation

Nofal, Taher A. Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method. J. Appl. Math. 2012 (2012), Article ID 370843, 19 pages. doi:10.1155/2012/370843. https://projecteuclid.org/euclid.jam/1355495216


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