2019
DOI: 10.11948/2156-907x.20180247
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Fast Second-Order Accurate Difference Schemes for Time Distributed-Order and Riesz Space Fractional Diffusion Equations

Abstract: The aim of this paper is to develop fast second-order accurate difference schemes for solving one-and two-dimensional time distributed-order and Riesz space fractional diffusion equations. We adopt the same measures for one-and two-dimensional problems as follows: we first transform the time distributed-order fractional diffusion problem into the multi-term time-space fractional diffusion problem with the composite trapezoid formula. Then, we propose a second-order accurate difference scheme based on the inter… Show more

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