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An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations

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  • F. A. Hendi
  • M. M. Al-Qarni

Abstract

We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE). In this approach, we use a new formula called variational homotopy perturbation method (VHPM) and variational accelerated homotopy perturbation method (VAHPM). This approach is based on the form of He’s polynomials and on a new form of He’s polynomials. We discuss the convergence of the technique. Some numerical examples are introduced to verify the efficiency of this technique.

Suggested Citation

  • F. A. Hendi & M. M. Al-Qarni, 2017. "An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-8, July.
    • Handle: RePEc:hin:jnlamp:9385040
    DOI: 10.1155/2017/9385040
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