New results on the analytic summation of Adomian series for some classes of differential and integral equations |
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| Authors: | IL El-Kalla |
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| Institution: | Physics and Engineering Mathematics Department, Faculty of Engineering, Mansoura University, P.O. Box 35516, Mansours, Egypt |
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| Abstract: | In this paper, we demonstrate that an infinite number of successive integration by parts can be written in a closed form. This closed form can be used directly to prove that the analytic summation of Adomian series becomes identical to the closed form solution for some classes of differential and integral equations. |
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| Keywords: | Ordinary differential equations Partial differential equations Integral equations Adomian method |
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