A fitted numerical method for singularly perturbed integro differential equations with delay
Date
2017-12-23
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Видавництво Львівської політехніки
Lviv Polytechnic Publishing House
Lviv Polytechnic Publishing House
Abstract
This study deals with the singularly perturbed
initial value problems for a quasilinear first-order integrodifferential
equations with delay. A numerical method is
generated on a grid that is constructed adaptively from a
knowledge of the exact solution, which involves appropriate
piecewise-uniform mesh on each time subinterval. An error
analysis shows that the discrete solutions are uniformly
convergent with respect to the perturbation parameter. The
parameter uniform convergence is confirmed by numerical
computations.
Description
Keywords
Singularly perturbed problems, integrodifferential equation, difference schemes, uniformly convergent
Citation
Erdogan F. A fitted numerical method for singularly perturbed integro differential equations with delay / Fevzi Erdogan, Mehmet Giyas Sakar // Litteris et Artibus : proceedings, 23–25 November, 2017. — Lviv : Lviv Polytechnic Publishing House, 2017. — P. 422–424. — (9th International academic conference «Computer science & engineering 2017» (CSE-2017)).