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

F. A. Hendi and M. M. Al-Qarni

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

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.

Date: 2017
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https://doi.org/10.1155/2017/9385040

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9385040

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