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半直线上的广义勒让德有理拟谱方法(英文)

Generalized Legendre rational pseudospectral method on the half line
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摘要 介绍了一类新的广义勒让德有理正交函数系,建立了半直线上椭圆型问题的广义勒让德有理拟谱格式,数值结果说明了这种方法的有效性。 A new orthogonal system of generalized Legendre rational functions is introduced. A generalized Legendre rational pesudospectral scheme is constructed for a model problem on the half line. Numerical results demonstrate the effectiveness of this approach.
出处 《上海师范大学学报(自然科学版)》 2005年第4期18-21,共4页 Journal of Shanghai Normal University(Natural Sciences)
基金 The National Science Foundation (10471095) The fund of Shanghai Municipal Education Commission (04DB15) The Shanghai Leading Academic Discipline Project (T0401) The Science Foundation of Shanghai (04JC14062)
关键词 广义勒让德有理拟谱方法 半直线 新正交系 generalized Legendre rational pseudospectral method on the half line new orthogonal system
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参考文献3

  • 1GUO B Y,SHEN J,WANG Z Q.A rational approximation and its applications to differential equations on the half line[J].J of Sci Comp,2000,15:117-148.
  • 2GUO B Y,SHEN J,WANG Z Q.Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval[ J ].Int J Numer Math Engng,2002,53:65 -84.
  • 3WANG Z Q,WANG L L,GUO B Y.A rational spectral method for singular differential equations[ J ].Numer Math A J of Chinese Universities,2003,12:121-128.

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