一维分数阶渗透方程的有限差分逼近  

Finite-difference Approximation for One-dimensional Fractional Percolation Equation

作　　者：陈世平[1] 施伟民[1] 

机构地区：[1]泉州师范学院理工学院,福建泉州362000

出　　处：《泉州师范学院学报》2009年第4期1-3,共3页Journal of Quanzhou Normal University

摘　　要：考虑一个含有变系数的一维分数阶渗透方程.为了求解该方程,建立了一个有限差分方法,并探讨该方法的稳定性、相容性和收敛性,最后给出一个含有准确解的数值例子以验证该方法的有效性.In this paper, an one-dimensional fractional percolation equation with variable coefficients is considered. For solving the equation, a finite-difference method is established. Stability, consistency and convergence of the method is examined. A numerical example with known exact solution is also presented to show that the method is effective.

关 键 词：分数阶渗透方程 相容性 稳定性 收敛性 

分 类 号：O241.82[理学—计算数学]