TY  - JOUR
T1  - Homotopy Perturbation Method (HPM) for Solving Nonlinear Volterra
Hammerstein Integral Equations
AU - Jameel, A.F. AU - Alipiah, F.M. AU - Akhadkulov, H. AU - Saaban, A. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 16
SP  - 5598
EP  - 5601
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.5598.5601
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.5598.5601
KW  - solution
KW  -integro-differential equations
KW  -VHIEs
KW  -HPM
KW  -parameter
KW  -coverage
AB  - 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.
ER  -