{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:04:55Z","timestamp":1760058295828,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,3,24]],"date-time":"2025-03-24T00:00:00Z","timestamp":1742774400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper presents a robust fitted mesh finite difference method for solving a system of n singularly perturbed two parameter convection\u2013reaction\u2013diffusion delay differential equations defined on the interval [0,2]. Leveraging a piecewise uniform Shishkin mesh, the method adeptly captures the solution\u2019s 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. A numerical illustration is included to validate the method\u2019s efficiency and to confirm the theoretical predictions.<\/jats:p>","DOI":"10.3390\/axioms14040246","type":"journal-article","created":{"date-parts":[[2025,3,24]],"date-time":"2025-03-24T12:01:50Z","timestamp":1742817710000},"page":"246","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Efficient Layer-Resolving Fitted Mesh Finite Difference Approach for Solving a System of n Two-Parameter Singularly Perturbed Convection\u2013Diffusion Delay Differential Equations"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0122-8483","authenticated-orcid":false,"given":"Joseph Paramasivam","family":"Mathiyazhagan","sequence":"first","affiliation":[{"name":"PG & Research Department of Mathematics, Bishop Heber College (Affiliated to Bharathidasan University), Tiruchirappalli 620 017, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-7756-4957","authenticated-orcid":false,"given":"Jenolin","family":"Arthur","sequence":"additional","affiliation":[{"name":"PG & Research Department of Mathematics, Bishop Heber College (Affiliated to Bharathidasan University), Tiruchirappalli 620 017, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0477-1895","authenticated-orcid":false,"given":"George E.","family":"Chatzarakis","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering Educators, School of Pedagogical & Technological Education (ASPETE), 15122 Marousi, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. L.","family":"Panetsos","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering Educators, School of Pedagogical & Technological Education (ASPETE), 15122 Marousi, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2259","DOI":"10.1007\/s10973-020-10233-9","article-title":"Intra-uterine particle-fluid motion through a compliant asymmetric tapered channel with heat transfer","volume":"144","author":"Bhatti","year":"2021","journal-title":"J. Therm. Anal. Calorim."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1023\/A:1023631706975","article-title":"Asymptotic analysis and solution of a finite-horizon H\u221e control problem for singularly-perturbed linear systems with small state delay","volume":"117","author":"Glizer","year":"2003","journal-title":"J. Optim. 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