The two-dimensional space-time fractional dispersion equation is obtained from the standard two-dimensional dispersion equation by replacing the first order time derivative by the Caputo fractional derivative,and the two second order space derivatives by the Riemann-Liouville fractional derivatives,respectively.Base on the shifted Grünwald finite difference approximation for the two space fractional derivatives,an implicit difference method and a practical alternate direction implicit difference method were...
网络出版地址:www.cnki.net/kcms/detail/11.2625.V.20150402.0947.004.html引用格式:张英晗,杨小远.二维空间时间分数阶色散方程的差分方法[J].北京航空航天大学学报,2015,41(12):2296-2301.Zhang Y H,Yang X Y.Difference methods for two-dimensional space-time fractional