Application of Adomian Decomposition Method for Solving Helmholtz Equation

Abstract

The Adomian decomposition method (ADM) is effective for solving linear and nonlinear ordinary and partial differential equations, integral equations, algebraic equations and integro-differential equations and it leads to an analytical solution in the form of an infinite power series. We will solve the Helmholtz equation in two dimensional by the Adomian decomposition method.

Key words: Application of Adomian Decomposition Method, Helmholtz Equation, Adomian Decomposition Method.