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Application of Homotopy Perturbation Method to Singularly Perturbed Volterra Integral Equations
(
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 ...
The modified homotopy perturbation method for solving strongly nonlinear oscillators
(
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 ...