Application of He’s variational iteration method and Adomian’s decomposition method to the fractional KdV–Burgers–Kuramoto equation

Application of He’s Variational Iteration Method to Abelian Differential Equation

In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation...

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

In this work, the fractional KdV–Burgers–Kuramoto equation is studied. He's variational iteration method (VIM) and Adomian's decomposition method (ADM) are applied to obtain its solution. Comparison with HAM is made to highlight the significant features of the employed methods and their capability of handling completely integrable equations.

Fractional variational iteration method and its application

Article history: Received 26 March 2010 Accepted 9 April 2010 Available online 18 April 2010 Communicated by R. Wu

APPLICATION OF He’s VARIATIONAL ITERATION METHOD AND ADOMIAN’S DECOMPOSITION METHOD TO PROCHHAMMER CHREE EQUATION

The model for α = 1, β = 1/(m + 1) and γ = 0 was studied by Bagolubasky and Clarkson et al. A second model for α = 0, β = −(1/2) and γ = 0 was studied by Parker and solitary wave solutions were obtained as well. However, a third model was investigated in Refs. 10 and 11 for m = 1 and m = 2 where explicit solitary wave solutions and kinks solutions were derived. For m ≥ 1, we get consecutive exp...

The variational iteration method for solving Nagumo telegraph equation