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Title: | A Fractional Analog of Crank–Nicholson Method for the Two Sided Space Fractional Partial Equation with Functional Delay |
Authors: | Pimenov, V. G. Hendy, A. S. |
Issue Date: | 2016 |
Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
Citation: | Pimenov V. G. A Fractional Analog of Crank–Nicholson Method for the Two Sided Space Fractional Partial Equation with Functional Delay / V. G. Pimenov, A. S. Hendy. — DOI 10.15826/umj.2016.1.005. — Text : electronic // Ural Mathematical Journal. — 2016. — Volume 2. — № 1. — P. 48-57. |
Abstract: | For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence is obtained. The method is a fractional analogue of the Crank–Nicholson method, and also uses interpolation and extrapolation of the prehistory of model with respect to time. |
Keywords: | FRACTIONAL PARTIAL DIFFERENTIAL EQUATION GRUNWALD-LETNIKOV APPROXIMATIONS GRID SCHEMES FUNCTIONAL DELAY INTERPOLATION EXTRAPOLATION CONVERGENCE ORDER |
URI: | http://elar.urfu.ru/handle/10995/93112 |
Access: | Creative Commons Attribution License |
License text: | https://creativecommons.org/licenses/by/4.0/ |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2016.1.005 |
metadata.dc.description.sponsorship: | This work was supported by Government of the Russian Federation program 02.A03.21.0006on 27.08.2013 and by Russian Science Foundation 14-35-00005. |
RSCF project card: | 14-35-00005 |
Origin: | Ural Mathematical Journal. 2016. Volume 2. № 1 |
Appears in Collections: | Ural Mathematical Journal |
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