In this paper we propose a powerful modi®cation of Adomian decomposition
method that will accelerate the rapid convergence of the series solution. The validity of
the modi®ed technique is veri®ed through illustrative examples. In all cases of dier-
ential and integral equations, we obtained excellent performance from the modi®ed
algorithm. The modi®cation could lead to a promising approach for many applications
in applied sciences. Ó 1999 Elsevier Science Inc. All rights reserved.