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Stair Laguerre pseudospectral method for differential equations on the half line

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Abstract

A stair Laguerre pseudospectral method is proposed for numerical solutions of differential equations on the half line. Some approximation results are established. A stair Laguerre pseudospcetral scheme is constructed for a model problem. The convergence is proved. The numerical results show that this new method provides much more accurate numerical results than the standard Laguerre spectral method.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Li-lian Wang & Ben-yu Guo

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  1. Li-lian Wang
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  2. Ben-yu Guo
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Dedicated to Charles A. Micchelli on the occasion of his 60th birthday

Mathematics subject classifications (2000)

65N35, 41A10.

Li-lian Wang: 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 and The Special Funds for Major Specialities of Shanghai Education Committee.

Ben-yu Guo: The work of this author is partially supported by The Special Funds for Major State Basic Research Projects of China G1999032804, The Shanghai Natural Science Foundation N. 00JC14057 and The Special Funds for Major Specialities of Shanghai Education Committee.

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Wang, Ll., Guo, By. Stair Laguerre pseudospectral method for differential equations on the half line. Adv Comput Math 25, 305–322 (2006). https://doi.org/10.1007/s10444-003-7608-6

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  • DOI: https://doi.org/10.1007/s10444-003-7608-6

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