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A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem
Journal article   Open access  Peer reviewed

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

M. A. El-Ameen and M. El-Kady
Journal of applied mathematics, Vol.2012, pp.1-10
01/01/2012
DOI: https://doi.org/10.1155/2012/714973

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem. The existence and uniqueness of proposed method are achieved. Numerical results are given at the end of this paper.
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https://doi.org/10.1155/2012/714973View
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