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Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems

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  • Syed Tauseef Mohyud-Din
  • Muhammad Aslam Noor

Abstract

We apply the homotopy perturbation method for solving the fourth-order boundary value problems. The analytical results of the boundary value problems have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of the method. Homotopy method can be considered an alternative method to Adomian decomposition method and its variant forms.

Suggested Citation

  • Syed Tauseef Mohyud-Din & Muhammad Aslam Noor, 2007. "Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-15, December.
    • Handle: RePEc:hin:jnlmpe:098602
    DOI: 10.1155/2007/98602
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