| A SPECIAL METHOD OF FOURIER SERIES WHICH IS EQUAL TO THE METHOD OF SEPARATION OF VARIABLES ON BOUNDARY VALUE PROBLEM |
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| 作者姓名： | Yan Xianggan Wu Jike |
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| 作者单位： | Yan Xianggan;Wu Jike，Department of Mechanics，Peking Unirersity，Bejing 100871. China |
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| 基金项目： | Supported by the National Natural Science Foundation of China，the Doctoral Training of the State Education Commission of China |
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| 摘 要： | By the separation of singularity, a special Fourier series solution of the boundary valueproblem for plane is obtained, which can satisfy all boundary conditions and converges rapidly. It isproved that the solution is equal to the result of separation of variables. As a result, the non-linearcharacteristic equations resulting from the method of separation of variables are transformed into poly-nomial equations that can provide a foundation for approximate computation and asymptotic analysis.
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| 收稿时间： | 14 April 1997 |
A SPECIAL METHOD OF FOURIER SERIES WHICH IS EQUAL TO THE METHOD OF SEPARATION OF VARIABLES ON BOUNDARY VALUE PROBLEM |
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| Yan Xianggan,Wu Jike,.A SPECIAL METHOD OF FOURIER SERIES WHICH IS EQUAL TO THE METHOD OF SEPARATION OF VARIABLES ON BOUNDARY VALUE PROBLEM[J].Acta Mechanica Solida Sinica,1997,10(3):255-261. |
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| Authors: | Yan Xianggan Wu Jike |
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| Institution: | (1) Department of Mechanics, Peking University, 100871 Beijing, China |
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| Abstract: | By the separation of singularity, a special Fourier series solution of the boundary value problem for plane is obtained, which can satisfy all boundary conditions and converges rapidly. It is proved that the solution is equal to the result of separation of variables. As a result, the non-linear characteristic equations resulting from the method of separation of variables are transformed into poly- nomial equations that can provide a foundation for approximate computation and asymptotic analysis. |
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| Keywords: | Separation of singularity series resolution method of separation of variables boundary value problem characteristic equation |
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