Solving Rayleigh-Plesset Equation And Thomas A.Ivey?�?s Equation Using Adomian Decomposition Method

Abstract

In this study, We studied on solving Rayleigh-plesset equatin and Thomas A.Iveys equation using the proposed Adomian decomposition method. In the 1980’s, George Adomian introduced a semi-analytical technique known as, Adomian decomposition method, for solving linear and nonlinear differential equations. The Adomian decom position method is a powerful method which considers the approximate solution of a nonlinear equation as an infinite series which usually converges to the exact solution. The approximate analytic solution is found in the form of a convergent power series with easily computed components. Two examples will be taken to show the efficiency of the method.