Abstract
Based on the discussion of the semidiscretization 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 is estimated.
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Communicated by Ding Xie-ping
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Xiao-qing, L., Sheng-chang, W. Spectral method for semilinear parabolic integrodifferential equations. Appl Math Mech 16, 187–194 (1995). https://doi.org/10.1007/BF02451458
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DOI: https://doi.org/10.1007/BF02451458