摘要
本文致力于一维空间常系数对流扩散方程的数值解法,基于有限差分法,提出了一种二阶精度的加权Crank-Nicholson离散差分格式,并讨论了其收敛性,最后给出了数值算例。
引文
[1]郭柏灵,蒲学科,黄凤辉.分数阶偏微分方程及其数值解[M].北京:科学出版2011:1-3,91-92.
[2]Hao Z P,Sun Z Z,Cao W R.A fourth-order approximation of fractionalderivatives with its applications[J]Journal of Computational Physics,2015,281:787-805.
[3]Podlubny I..Fractional differential equations[M]San Diego:Academic Press,1999:1-4,88-89.