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The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey‐Stewartson Equations and Comparison between Them and Exact Solutions

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  • Hassan A. Zedan
  • W. Barakati
  • Nada Hamad

Abstract

We introduce two powerful methods to solve the Davey‐Stewartson equations: one is the homotopy perturbation method (HPM) and the other is the homotopy analysis method (HAM). HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison of the HPM results with the HAM results, and compute the absolute errors between the exact solutions of the DS equations with the HPM solutions and HAM solutions are obtained.

Suggested Citation

  • Hassan A. Zedan & W. Barakati & Nada Hamad, 2013. "The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey‐Stewartson Equations and Comparison between Them and Exact Solutions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:326473
    DOI: 10.1155/2013/326473
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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