Article ID Journal Published Year Pages File Type
472496 Computers & Mathematics with Applications 2013 9 Pages PDF
Abstract

In this paper, we present the Adomian decomposition method and its modifications combined with convergence acceleration techniques, such as the diagonal Padé approximants and the iterated Shanks transforms, to solve nonlinear fractional ordinary differential equations. Two nonlinear numeric examples demonstrate that either the diagonal Padé approximants or the iterated Shanks transforms can efficiently extend the effective convergence region of the decomposition series solution.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, , , ,