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Numerical methods for nonlinear partial differential equations of fractional order
(
Elsevier B.V.
, 2008 , Article)
In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The ...
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 ...