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

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  • Taher A. Nofal

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.

Suggested Citation

  • Taher A. Nofal, 2012. "Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:370843
    DOI: 10.1155/2012/370843
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    References listed on IDEAS

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    Cited by:

    1. Fukang Yin & Junqiang Song & Xiaoqun Cao, 2013. "A General Iteration Formula of VIM for Fractional Heat‐ and Wave‐Like Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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