Journal of Engineering and Applied Sciences

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Homotopy Perturbation Method (HPM) for Solving Nonlinear Volterra Hammerstein Integral Equations

F.M. Alipiah, H. Akhadkulov, A. Saaban and A.F. Jameel
Page: 5598-5601 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study discusses the approximate solution of nonlinear Volterra Hammerstein Integral Equations (VHIEs) using Homotopy Perturbation Method (HPM). Based on the previous literature, the use of HPM for solving VHIEs are very limited. Most of them focus toward the solving of Fredholm and Volterra integro-differential equations. In this proposed method, homotopy are constructed in the form Ly+p(Ny+Ny-Ly) = 0 where L, N are linear operator p∈[0, 1] is an embedding parameter to generate approximate series solution converge to the exact solution of VHIEs. We implement our proposed by using two specific examples of VHIEs.

How to cite this article:

F.M. Alipiah, H. Akhadkulov, A. Saaban and A.F. Jameel. Homotopy Perturbation Method (HPM) for Solving Nonlinear Volterra Hammerstein Integral Equations.
DOI: https://doi.org/10.36478/jeasci.2019.5598.5601
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.5598.5601