An analytic approximation to the solution of heat equation by Adomian decomposition method and 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 heat equation, which governs on numerous scientific and engineering experimentations. Some special cases of the equation are solved as examples to illustrate ability and reliability of the method. Restrictions on applying Adomian decomposition method for these equations are discussed.