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A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS 被引量:2

A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS
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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. 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.
基金 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
关键词 有理谱法 微分方程 Laguerre多项式 有理函数 Laguerre rational approximation, spectral method, singular differential equation.
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