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

Author

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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, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9385040
    DOI: 10.1155/2017/9385040
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    References listed on IDEAS

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    1. Ghorbani, Asghar, 2009. "Beyond Adomian polynomials: He polynomials," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1486-1492.
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