SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

Abstract

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

Liu Xiao-qing;Wu Sheng-chang. SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS. Applied Mathematics and Mechanics (English Edition), 1995, 16(2): 187-194.

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SPECTRAL METHOD FOR SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS

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