A reliable modification of Adomian decomposition method

In this paper we propose a powerful modification of Adomian decomposition m ethod that will accelerate the rapid convergence of the series solution. Th e validity of the modified technique is verified through illustrative examp les. In all cases of differential and integral equations, we obtained excel lent performance from the modified algorithm. The modification could lead t o a promising approach for many applications in applied sciences. (C) 1999 Elsevier Science Inc. All rights reserved.