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

作　　者：徐大[1] 

机构地区：[1]湘潭师范学院数学系

出　　处：《纯粹数学与应用数学》1997年第1期50-56,共7页Pure and Applied Mathematics

摘　　要：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.

关 键 词：积分微分方程 时间离散 欧拉方法 数值解 抛物型 

分 类 号：O241.8[理学—计算数学]