%0 Journal Article
%A Mikhailov, Mikhail D.
%D 2000
%I Begell House
%N 2
%P 8
%R 10.1615/HybMethEng.v2.i2.40
%T DECOMPOSITION METHOD WITH *MATHEMATICA*
%U http://dl.begellhouse.com/journals/1a37c0433d303e8b,5016a25274d07492,1ac8d9e44776931e.html
%V 2
%X In contrast to Adomian's approach, the decomposition technique presented herein for solving nonlinear functional equations is made before the solution, which permitted all existing solution techniques to be used. It is demonstrated by examples that the decomposition method gives the same results as the perturbation method. Some examples solved by Adomian are also considered. Notwithstanding that the solutions coincide with a power series expansion of the exact solutions, they converge in the limited region, which is extended by using the Shanks transformation.
%8 2000-06-01