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An Aftertreatment Technique for Improving the Accuracy of Adomian's Decomposition Method
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| Organization: | Xidian University, Xi'an, Shaanxi, China |
| Organization: | University of Tsukuba, Tsukuba, Japan |
| Organization: | City University of Hong Kong, Kowloon, Hong Kong |
| Organization: | Xidian University, Xi'an, Shaanxi, China |
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| Computers and Mathematics with Applications |
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Adomian's decomposition method (ADM) is a nonnumerical method which can be edapted for solving nonlinear ordinary differential equations. In this paper, the principle of the decomposition method is described, and its advantages as well as drawbacks are discussed. Then an aftertreatment (AT) is proposed, which yields the analytic approximate solution with fast convergence rate and high accuracy through the application of the Padé 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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Adomian's decomposition method, aftertreatment technique, ordinary differential equations, Padé approximant, Mathematica
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