Applications of adomian decomposition method for wave equations

Abstract

In this study, an application of Adomian decomposition method (ADM) is applied to solve the wave equations with non-local boundary conditions. If the equations considered have a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made between the exact solution and Adomian decomposition method (ADM). The results reveal that the differential transform method is very effective and simple.