Browsing Mathematics, Statistics & Physics by Author "Alnasr, M.H."
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Application of Homotopy Perturbation Method to Singularly Perturbed Volterra Integral Equations
Alnasr, M.H.; Momani, Shaher ( Asian Network for Scientific Information , 2008 , Article)In this study, the Homotopy-Perturbation Method (HPM) proposed by J.-H. He is adopted for solving singularly perturbed Volterra integral equations (SVIEs). Three numerical examples are given to demonstrate the effectiveness ... -
An efficient dynamical systems method for solving singularly perturbed integral equations with noise
Sweilam, N.H.; Nagy, A.M.; Alnasr, M.H. ( Elsevier , 2009 , Article)In this paper we apply the dynamical systems method (DSM) proposed by A. G. Ramm, and the variational regularization method (VRM), to obtain numerical solution to some singularly perturbed ill-posed problems contaminated ... -
The modified homotopy perturbation method for solving strongly nonlinear oscillators
Momani, Shaher; Erjaee, G.H.; Alnasr, M.H. ( Elsevier , 2009 , Article)In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy ...