First order parameter uniform numerical method for a linear singularly perturbed delay differential equation with Robin initial condition.

Autor: Rajkumar, Praveena, Mathiyazhagan, M. Joseph Paramasivam
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2649 Issue 1, p1-10, 10p
Abstrakt: In this paper, an initial value problem for a linear singularly perturbed delay differential equation with Robin initial condition is considered. A Shishkin piecewise uniform mesh is implemented and combined with a classical finite difference discretization to create a numerical method for solving this problem. The numerical approximations obtained are essentially first order convergence uniformly with respect to the singular perturbation parameter. Numerical experiment is givento support the theory. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index