A.F.  Jameel, F.M.  Alipiah, H.  Akhadkulov, A.  Saaban, 
    Homotopy Perturbation Method (HPM) for Solving Nonlinear Volterra
Hammerstein Integral Equations,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 16,
    2019,
    Pages 5598-5601,
    ISSN 1816-949x,
    jeasci.2019.5598.5601,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.5598.5601)
    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.
    Keywords: solution;integro-differential equations;VHIEs;HPM;parameter;coverage