A numerical scheme for a weakly coupled system of singularly perturbed delay differential equations on an adaptive mesh

2020 ◽  
Author(s):  
Pramod Chakravarthy Podila ◽  
Trun Gupta ◽  
J. Vigo‐Aguiar
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Numerical Scheme ◽  
Adaptive Mesh ◽  
Coupled System ◽  
Singularly Perturbed ◽  
Weakly Coupled ◽  
Weakly Coupled System ◽  
Delay Differential

scholarly journals A NUMERICAL SCHEME FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE ON AN ADAPTIVE GRID

2018 ◽  
Vol 23 (4) ◽  
pp. 686-698 ◽  
Author(s):  
ramod Chakravarthy Podila ◽  
Trun Gupta ◽  
Nageshwar Rao
Keyword(s):  
Delay Differential Equations ◽  
Numerical Scheme ◽  
Adaptive Mesh ◽  
Singularly Perturbed ◽  
Adaptive Meshes ◽  
Diffusion Type ◽  
Convection Diffusion ◽  
Computational Work ◽  
Delay Differential ◽  
Central Finite Difference

In this paper, an adaptive mesh strategy is presented for solving singularly perturbed delay differential equation of convection-diffusion type using second order central finite difference scheme. Layer adaptive meshes are generated via an entropy production operator. The details of the location and width of the layer is not required in the proposed method unlike the popular layer adaptive meshes mainly by Bakhvalov and Shishkin. An extensive amount of computational work has been carried out to demonstrate the applicability of the proposed method.

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