Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472496 | Computers & Mathematics with Applications | 2013 | 9 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jun-Sheng Duan, Temuer Chaolu, Randolph Rach, Lei Lu,