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A High-Order Difference Scheme for the Generalized Cattaneo Equation

Published online by Cambridge University Press:  28 May 2015

Seak-Weng Vong ,
Hong-Kui Pang  and
Xiao-Qing Jin
Seak-Weng Vong*
Affiliation:
Department of Mathematics, University of Macau, Macao, P.R. China
Hong-Kui Pang*
Affiliation:
School of Mathematical Sciences, Jiangsu Normal University, Xuzhou, P.R. China
Xiao-Qing Jin*
Affiliation:
Department of Mathematics, University of Macau, Macao, P.R. China
*
Corresponding author. Email: swvong@umac.mo
Corresponding author. Email: panghongkui@163.com
Corresponding author. Email: xqjin@umac.mo
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Abstract

A high-order finite difference scheme for the fractional Cattaneo equation is investigated. The L1 approximation is invoked for the time fractional part, and a compact difference scheme is applied to approximate the second-order space derivative. The stability and convergence rate are discussed in the maximum norm by the energy method. Numerical examples are provided to verify the effectiveness and accuracy of the proposed difference scheme.

Keywords

65M0665M1265M1535Q51Fractional Cattaneo equationL1 approximationcompact finite differencestabilityconvergence

Information

Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 2 , Issue 2 , May 2012 , pp. 170 - 184
Copyright
Copyright © Global-Science Press 2012

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