摘要
考虑了一类带有Robin边界条件的分数阶对流弥散方程,给该方程建立了一种隐式有限差分格式,然后证明了该格式的解的存在唯一性、稳定性和收敛性,最后,用数值例子验证了差分方法的有效性。
A class of fractional convection dispersion equation with Robin boundary condition was considered.An implicit finite difference solution was established for the equation.Then its existence,uniqueness,stability and convergence were proved.Finally,its effectiveness was verified with numerical experiments.
作者
尹修草
刘桃花
YIN Xiucao;LIU Taohua(School of Mathematica and Computing ScUnca,Hunan University of Scienca and Technology,Xiangtan 411201,China)
出处
《邵阳学院学报（自然科学版）》
2021年第2期1-7,共7页
Journal of Shaoyang University：Natural Science Edition
基金
湖南省教育厅科研项目(18C0329,18C0332)。
关键词
分数阶对流弥散方程
Robin边界条件
稳定性
收敛性
fractional convection diffusion equation
Robin boundary conditions
stability
convergence
