ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD

Abstract

In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear differential equation. This method is a combination of the famous integral transform known as Laplace transform and the Adomian Decomposition Method (ADM).

Keywords

• Laplace transform
• Adomian polynomial
• Benjamin–Bona–Mahony equation