Variational iteration method in the time fractional Burgers equation
Adrian Ricardo Gómez Plata1; Edmundo Capelas de Oliveria2
1 Military University New Granada; 2 University of Campinas
Resumo
The variational iteration method(VIM) is a analysis tool efficient for approximate non-linear fractional differential equations. Recently differents investigators are used this method in your works and we study the Lagrange multipliers of the variational iteration method for the time fractional Burgers equation and apply those in differents particular cases. In this conference we present approximations of the solutions for a particular case of the time fractional Burgers equation(BF), with the use of the variational iteration method, the Caputo derivate for 0 < α ≤ 1, after make an comparation with the Adomian descomposition method(ADM).
Palavras-chave: Nonlinear Fractional Dynamics and Applications; Analysis and Control of Nonlinear Dynamical Systems with Practical Applications; Nonlinear Dynamics in Thermal and Fluid Sciences; variational iteration method; Fractional Burgers equation and Caputo derivative