The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations

نویسندگانF. Kheirkhah, M. Hajipour, D. Baleanu
نشریهApplied Numerical Mathematics
نوع مقالهFull Paper
تاریخ انتشار2022
رتبه نشریهISI (WOS)
نوع نشریهچاپی
کشور محل چاپایران

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.

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