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

Mathematics

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