摘要
本文考虑空间分数阶对流-扩散方程(即在一个标准对流-扩散方程中,用分数阶导数代替空间二阶导数)混合问题的数值解,采用积分方法(有限体积方法)构造出它们的显式有限差分格式,并证明它们的稳定性和收敛性,最后给出数值例子。
We consider numerical solution of a space fractional advection- dispersion equation with mixed problem, which is obtained from the adveetion - dispersion equation by replacing the second order derivative in space by a fractional derivative in space of order. Using integration method or finite - volume method, we can give an explicit finite difference schemes for this equation. The stability and convergence of the finite difference sehemes are proved. Some numerical results are given.
出处
《福建教育学院学报》
2008年第7期104-107,共4页
Journal of Fujian Institute of Education
