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Linear θ-Method and Compact θ-Method for Generalised Reaction-Diffusion Equation with Delay
Joint Authors
Wu, Fengyan
Wang, Qiong
Cheng, Xiujun
Chen, Xiaoli
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the analysis of the linear θ-method and compact θ-method for solving delay reaction-diffusion equation.
Solvability, consistence, stability, and convergence of the two methods are studied.
When θ∈[0,1/2), sufficient and necessary conditions are given to show that the two methods are asymptotically stable.
When θ∈[1/2,1], the two methods are proven to be unconditionally asymptotically stable.
Finally, several examples are carried out to confirm the theoretical results.
American Psychological Association (APA)
Wu, Fengyan& Wang, Qiong& Cheng, Xiujun& Chen, Xiaoli. 2018. Linear θ-Method and Compact θ-Method for Generalised Reaction-Diffusion Equation with Delay. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1170788
Modern Language Association (MLA)
Wu, Fengyan…[et al.]. Linear θ-Method and Compact θ-Method for Generalised Reaction-Diffusion Equation with Delay. International Journal of Differential Equations No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1170788
American Medical Association (AMA)
Wu, Fengyan& Wang, Qiong& Cheng, Xiujun& Chen, Xiaoli. Linear θ-Method and Compact θ-Method for Generalised Reaction-Diffusion Equation with Delay. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1170788
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170788