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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 1/2017

11.03.2017

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations

verfasst von: Guang-hua Gao, Anatoly A. Alikhanov, Zhi-zhong Sun

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2017

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Abstract

In this article, a special point is found for the interpolation approximation of the linear combination of multi-term fractional derivatives. The derived numerical differentiation formula can achieve at least second order accuracy. Then the formula is used to numerically solve the time multi-term and distributed-order fractional sub-diffusion equations. Several unconditionally stable and convergent difference schemes are presented. The stability and convergence of the difference schemes are discussed. Some numerical examples are provided to show the efficiency of the proposed difference schemes.
Vorheriger Artikel A Block-Centered Finite Difference Method for Slightly Compressible Darcy–Forchheimer Flow in Porous Media
Nächster Artikel Kinetic Modeling of Local Epidemic Spread and Its Simulation

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Metadaten
Titel
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations
verfasst von
Guang-hua Gao
Anatoly A. Alikhanov
Zhi-zhong Sun
Publikationsdatum
11.03.2017
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0407-x

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