scholarly journals Quasi-optimized Schwarz methods for reaction diffusion equations with time delay

2012 ◽  
Vol 385 (1) ◽  
pp. 354-370 ◽  
Author(s):  
Shu-Lin Wu ◽  
Cheng-Ming Huang
Keyword(s):  
Time Delay ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Schwarz Methods ◽  
Optimized Schwarz Methods

Blow-up results for some reaction-diffusion equations with time delay

2012 ◽  
Vol 105 (1) ◽  
pp. 21-29
Author(s):  
Hongliang Wang ◽  
Yujuan Chen ◽  
Haihua Lu
Keyword(s):  
Time Delay ◽  
Blow Up ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations

scholarly journals Numerical treatment of singularly perturbed delay reaction-diffusion equations

2020 ◽  
Vol 12 (1) ◽  
pp. 15-24
Author(s):  
Gashu Gadisa Kiltu ◽  
Gemechis File Duressa ◽  
Tesfaye Aga Bullo
Keyword(s):  
Time Delay ◽  
Present Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Singularly Perturbed ◽  
Diffusion Equations ◽  
Reaction Diffusion Equation ◽  
Stability And Convergence ◽  
Numerical Treatment ◽  
The Stability

This paper presents a uniform convergent numerical method for solving singularly perturbed delay reaction-diffusion equations. The stability and convergence analysis are investigated. Numerical results are tabulated and the effect of the layer on the solution is examined. In a nutshell, the present method improves the findings of some existing numerical methods reported in the literature. Keywords: Singularly perturbed, Time delay, Reaction-diffusion equation, Layer

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