Abstract.It is usual to resort to Adomian decomposition method or to homotopy analysis method for the solution of nonlinear problem. We show by considering a simple example that, in the absence of an asymptotic analysis, these methods fail to provide any significant information beyond a finite interval.

Received: September 18, 2007

AMS Subject Classification: 65L10

Key Words and Phrases: Adomian decomposition method, homotopy analysis, nonlinear problem

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 2