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A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations
Computers & Mathematics with Applications ( IF 2.811 ) Pub Date : 2019-12-23 , DOI: 10.1016/j.camwa.2019.12.008
Chuanjun Chen; Huan Liu; Xiangcheng Zheng; Hong Wang

A fully discrete two-grid modified method of characteristics (MMOC) scheme is proposed for nonlinear variable-order time-fractional advection–diffusion equations in two space dimensions. The MMOC is used to handle the advection-dominated transport and the two-grid method is designed for efficiently solving the resulting nonlinear system. Optimal L2 error estimates are derived for both the MMOC scheme and the corresponding two-grid MMOC scheme. Numerical experiments are presented to demonstrate the accuracy and the efficiency of the proposed method.
更新日期:2020-03-24

 

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