标题：A Crank–Nicolson difference scheme for the time variable fractional mobile–immobile advection–dispersion equation
作者：Liu, Zhengguang ;Li, Xiaoli
作者机构：[Liu, Zhengguang ;Li, Xiaoli ] School of Mathematics, Shandong University, Jinan; Shandong; 250100, China
来源：Journal of Applied Mathematics and Computing
摘要：A Crank–Nicolson finite difference scheme to solve a time variable order fractional mobile–immobile advection–dispersion equation is introduced and analyzed. Some a priori estimates of discrete L2-norm with order of convergence O(τ+ h2) are established on uniform grids where τ and h are the steps sizes in time and space. Stability and convergence of the numerical solutions are presented in detail. Numerical examples are provided to verify the theoretical analysis.
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