Article detail · 2025
A Uniform Numerical Method for Solving a Singularly Perturbed Neutral Delay Differential Equation
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
YÖKSİS
OpenAlex
SJR Q3
JCR Q4
Citations 0
Percentile 27.7%
FWCI 0.0
- Year
- 2025
- ISSN
0965-5425- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (OpenAlex)
Abstract In this paper, we deal with a singularly perturbed neutral-type delay differential problem. To solve this problem numerically, we construct a novel difference scheme on a layer-adapted mesh with the finite difference method by using interpolated quadrature rules with remainder terms in integral form. We prove that this scheme is first-order uniformly convergent with respect to the small perturbation parameter in discrete maximum norm. We also present numerical experiments which confirm the theoretical findings.
Topics
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Material Science and Thermodynamics
Primary topic Differential Equations and Numerical Methods