![](/images/graphics-bg.png)
On the Long Time Simulation of Reaction-Diffusion Equations with Delay
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-03
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
For a consistent numerical method to be practically useful, it is widely accepted that it must preserve the asymptotic stability of the original continuous problem.
However, in this study, we show that it may lead to unreliable numerical solutions in long time simulation even if a classical numerical method gives a larger stability region than that of the original continuous problem.
Some numerical experiments on the reaction-diffusion equations with delay are presented to confirm our findings.
Finally, some open problems on the subject are proposed.
American Psychological Association (APA)
Li, Dongfang& Zhang, Chengjian. 2014. On the Long Time Simulation of Reaction-Diffusion Equations with Delay. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1048655
Modern Language Association (MLA)
Li, Dongfang& Zhang, Chengjian. On the Long Time Simulation of Reaction-Diffusion Equations with Delay. The Scientific World Journal No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1048655
American Medical Association (AMA)
Li, Dongfang& Zhang, Chengjian. On the Long Time Simulation of Reaction-Diffusion Equations with Delay. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1048655
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048655