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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 ...
A generalized differential transform method for linear partial differential equations of fractional order
(
Elsevier B.V.
, 2007 , Article)
In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional ...
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 ...