带导数记忆项抛物型积分微分方程分数次欧拉时间离散

FRACTIONAL EULER TIME DISCRETIZATION OF AN INTEGRODIFFERENTIAL EQUATION OF PARABOLIC TYPE WITH A DERIVATIVE MEMORY TERM

我们研究一类带导数记忆项抛物型偏积分微分方程欧拉时间离散，记忆项通过Ｌｕｂｉｃｈ建议的分数次卷积求积逼近．

The optimal order error estimates are derived for two time discretizations of an integrodifferential equation of parabolic type with a derivative memory term. The methods reduce to the fractional backward Euler. The integral term is approximated by two fractional convolution quadratures suggested by Lubich.