EXPLICIT SOLUTION OF BURGERS’ EQUATION WITH SPECIAL KINEMATIC VISCOSITY USING DECOMPOSITION TECHNIQUE (Published)
In this article, Adomian’s Decomposition Method (ADM) is employed to approximate the solution of Burgers’ equation which is one-dimensional non-linear differential equations in fluid dynamics. The exact solution for Burger’s equation with low kinematic viscosity does not exist in the literatures. Thus, we obtained an explicit solution for this special case. We compared our solution using ADM with the exact solution and the existing numerical solution while .We found out that ADM converges very rapidly to the exact solution and performed better than the existing numerical method.
Keywords: Adomian decomposition method, Burger’s equation, Homotopy Perturbation method
