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Homotopy perturbation method for fractional Fornberg–Whitham equation

2010; Elsevier BV; Volume: 61; Issue: 2 Linguagem: Inglês

10.1016/j.camwa.2010.10.045

1873-7668

Praveen Kumar Gupta, Mithilesh Singh,

Differential Equations and Numerical Methods

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.