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An aftertreatment technique for improving the accuracy of Adomian's decomposition method

✍ Scribed by Y.C. Jiao; Y. Yamamoto; C. Dang; Y. Hao

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 967 KB
Volume: 43
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00321-2

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✦ Synopsis

Adomian's decomposition method (ADM) is a nonnumerical method which can be adapted for solving nonlinear ordinary differential equations. In this paper, the principle of the decomposition method is described, and its advantages as well ss drawbacks are discussed. Then an aftertreatment technique (AT) is proposed, which yields the analytic approximate solution with fast convergence rate and high accurscy through the application of Pad6 approximation to the series solution derived from ADM. Some concrete examples are also studied to show with numerical results how the AT works efficiently.

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