具有小周期震荡参数时间分数阶扩散方程的二阶双尺度有限元算法

摘要

In this paper, a second-order two-scale(SOTS) asymptotic expansion for time-fractional dif-fusion equation with rough periodic coefficients is presented .Based on the SOTS ’ s asymptotic expansion , the SOTS’ s computational method is constructed .Numerical experiments are carried out to show that the SOTS’ s computational method is effective .%针对具有小周期参数时间分数阶扩散方程，给出了一个二阶双尺度展开式。基于该二阶双尺度展开式构造出了求解具有小周期参数时间分数阶扩散方程的二阶双尺度有限元算法，通过数值例子表明了该算法是有效的。