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

Published online by Cambridge University Press:  03 June 2015

Seakweng Vong  and
Zhibo Wang
Seakweng Vong*
Affiliation:
Department of Mathematics, University of Macau, Av. Padre Tomás Pereira Taipa, Macau
Zhibo Wang*
Affiliation:
Department of Mathematics, University of Macau, Av. Padre Tomás Pereira Taipa, Macau
*
Email: swvong@umac.mo
Corresponding author. Email: zhibowangok@gmail.com
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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

26A3335R1165M0665M1265M15Fourth-order fractional subdiffusion equationcompact difference schemeenergy methodstabilityconvergence
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 4 , August 2014 , pp. 419 - 435
Copyright
Copyright © Global-Science Press 2014

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