Symbolic computation of analytic approximate solutions for nonlinear differential equations with initial conditions

Abstract The Adomian decomposition method (ADM) is one of the most effective methods for constructing analytic approximate solutions of nonlinear differential equations. In this paper, based on the new definition of the Adomian polynomials, and the two-step Adomian decomposition method (TSADM) combined with the Padé technique, a new algorithm is proposed to construct accurate analytic approximations of nonlinear differential equations with initial conditions. Furthermore, a MAPLE package is developed,... Title of program: NAPA Catalogue Id: AEJZ_v1_0 Nature of problem Solve nonlinear differential equations with initial conditions. Versions of this program held in the CPC repository in Mendeley Data AEJZ_v1_0; NAPA; 10.1016/j.cpc.2011.08.001 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)