نویسندگان | F. Kheirkhah, M. Hajipour, D. Baleanu |
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نشریه | Applied Numerical Mathematics |
نوع مقاله | Full Paper |
تاریخ انتشار | 2022 |
رتبه نشریه | ISI (WOS) |
نوع نشریه | چاپی |
کشور محل چاپ | ایران |
چکیده مقاله
This paper is concerned with a highly accurate numerical scheme for a class of one- and two-dimensional time-fractional advection-reaction-subdiffusion equations of variable-order
. For the spatial and temporal discretization of the equation, a fourth-order compact finite difference operator and a third-order weighted-shifted Grünwald formula are applied, respectively. The stability and convergence of the present scheme are addressed. Some extensive numerical experiments are performed to confirm the theoretical analysis and high-accuracy of this novel scheme. Comparisons are also made with the available schemes in the literature.