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Zbl 1211.65138
Gupta, Praveen Kumar; Singh, Mithilesh
Homotopy perturbation method for fractional Fornberg-Whitham equation. (English)
[J] Comput. Math. Appl. 61, No. 2, 250-254 (2011). ISSN 0898-1221

Summary: This article presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equation with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm like homotopy perturbation method. The fractional derivatives are taken in the Caputo sense. Numerical results show that the HPM is easy to implement and accurate when applied to time-fractional PDEs.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35Q53 KdV-like equations
35R11

Keywords: partial differential equation; Fornberg-Whitham equation; Caputo derivative; nonlinear equation; homotopy perturbation method

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Zentralblatt MATH Berlin [Germany]