Title: Delay-dependent stability analysis of convection-diffusion equations with delay

Authors: Qifeng Zhang; Changying Li; Hongyu Qin

Addresses: Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China ' Wenhua College, Wuhan, 430074, China ' Wenhua College, Wuhan, 430074, China

Abstract: This paper is concerned with the delay-dependent stability analysis of the one-dimensional and two-dimensional convection-diffusion equations with time delay. Some sufficient and necessary conditions for the asymptotical stability of the equations are proposed. These results lay the foundation for the numerical stability analysis of such kinds of equations.

Keywords: convection-diffusion equations with delay; delay-dependent stability; asymptotical stability; exponential transformation.

DOI: 10.1504/IJAMC.2017.085942

International Journal of Advanced Media and Communication, 2017 Vol.7 No.2, pp.150 - 158

Received: 31 May 2016
Accepted: 13 Sep 2016
Published online: 18 Aug 2017 *

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