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Volume 6, Issue 4
Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

Seakweng Vong & Zhibo Wang

DOI: 10.4208/aamm.2014.4.s1

Adv. Appl. Math. Mech., 6 (2014), pp. 419-435.

Published online: 2014-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

26A33, 35R11, 65M06, 65M12, 65M15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-419, author = {Vong , Seakweng and Wang , Zhibo}, title = {Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {4}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.4.s1}, url = {http://global-sci.org/intro/article_detail/aamm/27.html} }
TY - JOUR T1 - Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System AU - Vong , Seakweng AU - Wang , Zhibo JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 419 EP - 435 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2014.4.s1 UR - https://global-sci.org/intro/article_detail/aamm/27.html KW - Fourth-order fractional subdiffusion equation, compact difference scheme, energy method, stability, convergence. AB -

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.

Vong , Seakweng and Wang , Zhibo. (2014). Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System. Advances in Applied Mathematics and Mechanics. 6 (4). 419-435. doi:10.4208/aamm.2014.4.s1
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