半线性抛物型积分—微分方程的谱方法

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Spectral Method for Semilinear Parabolic Integrodifferential Equations

摘要: 本文在讨论带有半线性记忆项抛物型方程半离散格式的基础上,构造了空间方向谱离散,时间方向后欧拉方法的全离散格式,并给出了误差估计。对于记忆项的数值积分,采用了梯形公式与矩形公式结合的方法,并估计了数值积分的影响。
- 抛物型 /
- 积分一微分方程 /
- 谱方法 /
- 向后欧拉法
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.
- parabolic integro differential equation /
- spectral method /
- back-ward Euler method /

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