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Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems

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  • Muhammad Aslam Noor
  • Syed Tauseef Mohyud-Din

Abstract

We suggest and analyze a technique by combining the variational iteration method and the homotopy perturbation method. This method is called the variational homotopy perturbation method (VHPM). We use this method for solving higher dimensional initial boundary value problems with variable coefficients. The developed algorithm is quite efficient and is practically well suited for use in these problems. The proposed scheme finds the solution without any discritization, transformation, or restrictive assumptions and avoids the round-off errors. Several examples are given to check the reliability and efficiency of the proposed technique.

Suggested Citation

  • Muhammad Aslam Noor & Syed Tauseef Mohyud-Din, 2008. "Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:696734
    DOI: 10.1155/2008/696734
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    Cited by:

    1. Aasma Khalid & Muhammad Nawaz Naeem & Zafar Ullah & Abdul Ghaffar & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Maysaa M. Al-Qurashi, 2019. "Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells," Mathematics, MDPI, vol. 7(6), pages 1-20, June.

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