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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems

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  • Yanqin Liu

Abstract

A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems. The nonlinear terms can be easily handled by the use of He's polynomials. It is observed that the variational iteration method is very efficient and easier to implements; illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

Suggested Citation

  • Yanqin Liu, 2012. "Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:727031
    DOI: 10.1155/2012/727031
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