Multivariate padé approximation for solving partial differential equations (PDE) |
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| Authors: | Veyis Turut Ercan Çelik Muhammed Yiğider |
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| Affiliation: | 1. Batman üniversitesi Fen Edebiyat Fakültesi, Matematik B?lümü, Batman, Turkey;2. Atatürk üniversitesi Fen Fakültesi, Matematik B?lümü, Erzurum, Turkey;3. Erzincan üniversitesi Fen Edebiyat Fakültesi, Matematik B?lümü, Erzincan, Turkey |
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| Abstract: | In this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate padé approximations. We applied these method to two examples. First, PDE has been converted to power series by two‐dimensional differential transformation, Then the numerical solution of equation was put into multivariate padé series form. Thus, we obtained numerical solution of PDE. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | partial differential equation (PDE) two‐dimensional differential transformation multivariate padé approximation numerical solution differential transformation ordinary differential‐algebraic equations |
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