| A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS |
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| 作者姓名： | 王中庆 王立联 郭本瑜 |
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| 作者单位： | Department of Mathematics，Shanghai Normal University，Shanghai 200234 PRC，Department of Mathematics，Shanghai Normal University，Shanghai 200234 PRC，Department of Mathematics，Shanghai Normal University，Shanghai 200234 PRC |
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| 基金项目： | The work of this author is supported by The Foundation of CAEP 20030658)，The work of this author is partially supported by The Shanghai Natural Science Foundation N.00JC14057，The Shanghai Natural Science Foundation for Youth N. 01QN85.，The work of thi |
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| 摘 要： | An orthogonal system of rational functions is derived from the mapped Laguerre polynomials, which is used for numerical solution of singular differential equations. A model problem is considered. A multiple-step algorithm is developed to implement this method. Numerical results show the efficiency of this new approach.
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A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS |
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| Wang Zhongqing Wang Lilian Guo Benyu.A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2003,12(2). |
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| Authors: | Wang Zhongqing Wang Lilian Guo Benyu |
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| Institution: | Department of Mathematics,Shanghai Normal University,Shanghai 200234,PRC |
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| Abstract: | An orthogonal system of rational functions is derived from the mapped La-guerre polynomials, which is used for numerical solution of singular differential equations. A model problem is considered. A multiple-step algorithm is developed to implement this method. Numerical results show the efficiency of this new approach. |
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| Keywords: | Laguerre rational approximation spectral method singular differential equation |
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