CONVERGENCE OF ADOMIAN METHOD FOR SOLVING KDV-BURGER EQUATION.

摘要

In this paper, convergence of Adomian decomposition method (ADM) when applied to KdVBurgers equation is proved. Two approaches for extracting the soliton solutions to the nonlinear dispersive and dissipative KdV Burgers equation are implemented. The first one is the classical ADM while, the second is the modified ADM which is called the general iteration method. Test examples are given and a comparison between the two approaches is carried out to illustrate the pertinent feature of the general iteration method.