Solution of wave equation by Adomian decomposition method and the restrictions of the method

摘要

Adomian decomposition has been applied to solve many functional equations so far. In this article, we have used this method to solve the wave equation, which governs numerous engineering experimentations, particularly in geoscience applications. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. Restrictions on using Adomian decomposition method for these equations are discussed.