High-Order Algorithms for Riesz Derivative and their Applications (III)
Author:
Affiliation:
1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, CHINA
2. Department of Mathematics, Shanghai University, Shanghai 200444, CHINA
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Analysis
Link
https://www.degruyter.com/document/doi/10.1515/fca-2016-0003/pdf
Reference22 articles.
1. A.A. Alikhanov, A new difference scheme for the time fractional diffusion equation. J. Comput. Phys.280 (2015), 424–438.
2. T. Blaszczyk and M. Ciesielski, Numerical solution of fractional Sturm-Liouville equation in integral form. Fract. Calc. Appl. Anal.17, No 2 (2015), 307–320; DOI: 10.2478/s13540-014-0170-8; http://www.degruyter.com/view/j/fca.2014.17.issue-2/issue-files/fca.2014.17.issue-2.xml.
3. J.X. Cao, C.P. Li, and Y.Q. Chen, High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II). Fract. Calc. Appl. Anal.18, No 3 (2015), 735–761; DOI: 10.1515/fca-2015-0045; http://www.degruyter.com/view/j/fca.2015.18.issue-3/ issue-files/fca.2015.18.issue-3.xml.
4. Y. Dimitrov, Numerical Approximations for fractional differential equations. J. Fract. Calc. Appl.5, No 3S (2014), Article No 22, 1–45.
5. H.F. Ding, C.P. Li, and Y.Q. Chen, High-order algorithms for Riesz derivative and their applications (I). Abstr. Appl. Anal.2014 (2014), Article ID 653797, 1–17.
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