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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (2): 187-194.

• 论文 • 上一篇    下一篇

SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

刘小清, 吴声昌   

  1. Institute of Applied Mathematics, Academia Sinica, Beijing
  • 收稿日期:1994-02-07 出版日期:1995-02-18 发布日期:1995-02-18
  • 通讯作者: Ding Xie-ping

SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

Liu Xiao-qing, Wu Sheng-chang   

  1. Institute of Applied Mathematics, Academia Sinica, Beijing
  • Received:1994-02-07 Online:1995-02-18 Published:1995-02-18

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摘要： Based on the discussion of the semi discretization of a parabolic equation with a semilinear memory term,an error estimate is derived for the fully discrete scheme with spectral method in space and the backward Euler method in time The trapezoidal rule is adopted.for the quadrature of the memory term and the quadrature error isestimated.

关键词: Maxwell fluid, oscillating rectangular duct, velocity field, parabolic integro differential equation, spectral method, back-ward Euler method

Abstract: Based on the discussion of the semi discretization of a parabolic equation with a semilinear memory term,an error estimate is derived for the fully discrete scheme with spectral method in space and the backward Euler method in time The trapezoidal rule is adopted.for the quadrature of the memory term and the quadrature error isestimated.

Key words: Maxwell fluid, oscillating rectangular duct, velocity field, parabolic integro differential equation, spectral method, back-ward Euler method

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