In this paper, we develop a novel fnite-diference scheme for the time-Caputo and spaceRiesz fractional difusion equation with convergence order O(τ2-α + h2). The stability and convergence of the scheme are analyzed by mathematical induction. Moreover, some numerical results are provided to verify the efectiveness of the developed diference scheme.
Yuxin Zhang, Hengfei Ding
. Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Difusion Equation[J]. Communications on Applied Mathematics and Computation, 2020
, 2(1)
: 57
-72
.
DOI: 10.1007/s42967-019-00032-x
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