A numerical comparison for recent modifications of Adomian decomposition methods for nonlinear fractional KdV equations

Subject Mathematical and computer modelling
Title A numerical comparison for recent modifications of Adomian decomposition methods for nonlinear fractional KdV equations
Author(s) Dogan Kaya
Keywords Adomian decomposition method, fractional mKdV, the solitary wave solutions.
Abstract The explicit solutions to the modified fractional Korteweg–de Vries (KdV) equation with initial condition are calculated by using the recent modified decomposition methods. To illustrate the application of these methods, numerical results are obtained and compared with classical and modified fractional KdV equations. The numerical results demonstrate that the many of them are relatively accurate and easily implemented.