Variational iteration method for the time-fractional Fornberg-Whitham equation

Authors:
Mehmet Giyas Sakar;Fevzi Erdogan;Ahmet YıLdıRıM
Affiliations:
Yuzuncuyil University, Faculty of Sciences, Department of Mathematics, Van, 65080, Turkey;Yuzuncuyil University, Faculty of Sciences, Department of Mathematics, Van, 65080, Turkey;Ege University, Faculty of Sciences, Department of Mathematics, Bornova, 35100, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2012

Citing 9
Cited 0

A second-order accurate numerical method for the two-dimensional fractional diffusion equation

Journal of Computational Physics
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula

Journal of Computational and Applied Mathematics
Analytical solution of a fractional diffusion equation by variational iteration method

Computers & Mathematics with Applications
Approximate solutions of fractional Zakharov-Kuznetsov equations by VIM

Journal of Computational and Applied Mathematics
Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation

Computers & Mathematics with Applications
The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method

Computers & Mathematics with Applications
Homotopy perturbation method for fractional Fornberg-Whitham equation

Computers & Mathematics with Applications
Application of Laplace decomposition method on semi-infinite domain

Numerical Algorithms
An analytical approach to the Fornberg-Whitham type equations by using the variational iteration method

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

This paper presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equation with fractional time derivative. By using initial values, explicit solutions of the equations are solved by using a reliable algorithm like the variational iteration method. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of @a are presented graphically.