Work

Efficient Layer-Resolving Fitted Mesh Finite Difference Approach for Solving a System of n Two-Parameter Singularly Perturbed Convection–Diffusion Delay Differential Equations

Year: 2025

Type: article

Abstract: This paper presents a robust fitted mesh finite difference method for solving a system of n singularly perturbed two parameter convection-reaction-diffusion delay differential equations defined on the interval [0,2]. Leveraging a piecewise uniform Shishkin mesh, the method adeptly captures the solution’s behavior arising from delay term and small perturbation parameters. The proposed numerical scheme is rigorously analyzed and proven to be parameter-robust, exhibiting nearly first-order convergence. Numerical Illustration is included to validate the method’s efficiency and to confirm the theoretical predictions.

Source: Axioms

DOI: 10.3390/axioms14040246

Authors: M. Joseph Paramasivam, A. Jenolin, G. E. Chatzarakis, S. L. Panetsos

Institutions: Bharathidasan University, Bishop Heber College, School of Pedagogical and Technological Education

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4408780083

FWCI:

Cites: 16

Cited by:

Related to: 10