The Adomian decomposition method for linear and nonlinear problems of mathematical physics

Abstract:
The particular exact solutions of  the   problems of mathematical physics that usually occurs in nonlinear problems of heat and mass transfer are obtained  using Adomian's decompostion method. Also, numerical comparison of particular solutions in the decompostion method indicate that there is a very good agreement between the numerical solutions and particular exact solutions in terms of  efficiency and  accuracy.