An application of the decomposition method for second order wave equations

Abstract

In this paper we study the solution of a linear and nonlinear damped wave and dissipative wave equations by Adomian decomposition method. We illustrate that the analytic solutions and a reliable numerical approximation of the damped wave and dissipative wave equations are calculated in the form of a series with easily computable components. The nonhomogeneous problem is quickly solved by observing the self-canceling"noise"terms whose sum vanishes in the limit. In comparison to traditional techniques, the series based technique of Adomian decomposition method is shown to evaluate solutions accurately and cheaply.

Keywords:

• The decomposition method
• A linear damped wave equation
• A nonlinear damped wave equation
• A dissipative wave equation
• The self-canceling noise terms

C.R. Categories:

• G1.8