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Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay
Joint Authors
Li, Dongfang
Tong, Chao
Wen, Jinming
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with the stability of non-Fickian reaction-diffusion equations with a variable delay.
It is shown that the perturbation of the energy function of the continuous problems decays exponentially, which provides a more accurate and convenient way to express the rate of decay of energy.
Then, we prove that the proposed numerical methods are sufficient to preserve energy stability of the continuous problems.
We end the paper with some numerical experiments on a biological model to confirm the theoretical results.
American Psychological Association (APA)
Li, Dongfang& Tong, Chao& Wen, Jinming. 2014. Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014889
Modern Language Association (MLA)
Li, Dongfang…[et al.]. Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014889
American Medical Association (AMA)
Li, Dongfang& Tong, Chao& Wen, Jinming. Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014889