Open AccessA numerical scheme for a weakly coupled system of singularly perturbed delay differential equations on an adaptive mesh
Author(s) -
Podila Pramod Chakravarthy,
Gupta Trun,
VigoAguiar J.
Publication year - 2021
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1104
Subject(s) - scheme (mathematics) , delay differential equation , control theory (sociology) , mathematics , differential (mechanical device) , differential equation , computer science , mathematical analysis , physics , control (management) , artificial intelligence , thermodynamics
Summary In this paper, an adaptive mesh selection strategy is presented for solving a weakly coupled system of singularly perturbed delay differential equations of convection‐diffusion type using second order central finite difference scheme. Layer adaptive mesh is generated via an entropy production operator. The details of the location and width of the boundary layer is not required in the proposed method unlike the popular layer adaptive meshes mainly by Bakhvalov and Shishkin. The method is independent of perturbation parameter and gives us an oscillation‐free solution. The applicability of the proposed method is illustrated by means of three examples.