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Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
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Year:    2014

Author:    Seakweng Vong, Zhibo Wang

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 4 : pp. 419–435

Abstract

In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.4.s1

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 4 : pp. 419–435

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Fourth-order fractional subdiffusion equation compact difference scheme energy method stability convergence.

Author Details

Seakweng Vong

Zhibo Wang

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