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Numerical comparison of methods for solving a special fourth-order boundary value problem
(
Elsevier Inc.
, 2007 , Article)
In this paper, we implement relatively new analytical techniques, the differential transform method, Adomian decomposition, and homotopy perturbation method, for solving a fourth-order boundary value problem. In these ...
Homotopy perturbation method for nonlinear partial differential equations of fractional order
(
Elsevier B.V.
, 2007 , Article)
The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is ...
Solving fractional diffusion and wave equations by modified homotopy perturbation method
(
Elsevier B.V.
, 2007 , Article)
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is ...