A second order numerical method for singularly perturbed Volterra integro-differential equations with delay Cover

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A second order numerical method for singularly perturbed Volterra integro-differential equations with delay

International Journal of Mathematics and Computer in Engineering

Volume 2 (2024): Issue 1 (June 2024)

By: Fevzi Erdoğan

Open Access

|Oct 2023

Figures & Tables

Error estimates and convergence rates for various N for Example

Number of mesh points N

ɛ	N=64	N=128	N=256	N=512	N=1024	N=2048

2⁻⁰	5.6119e-5	1.4030e-5	3.5075e-6	8.7687e-7	2.1922e-7	5.4804e-8
2⁻⁰	2.572	2.477	2.409	2.358	2.319	-
2⁻⁴	1.9811e-3	4.9279e-4	1.2304e-4	3.0751e-5	7.6880e-6	1.9220e-6
2⁻⁴	2.581	2.479	2.410	2.358	2.319	-
2⁻⁸	2.0850e-3	7.0533e-4	2.3017e-4	7.2825e-5	2.2479e-5	6.7995e-6
2⁻⁸	2.011	2.001	2.000	2.000	2.000	-
2⁻¹²	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
2⁻¹²	2.011	2.001	2.000	2.000	2.000	-
2⁻¹⁶	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
2⁻¹⁶	2.011	2.001	2.000	2.000	2.000	-
2⁻²⁰	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
2⁻²⁰	2.011	2.001	2.000	2.000	2.000	-
2⁻²⁴	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
2⁻²⁴	2.011	2.001	2.000	2.000	2.000	-
2⁻²⁸	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
2⁻²⁸	2.011	2.001	2.000	2.000	2.000	-

e^N	2.0847e-3	7.0525e-4	2.3015e-4	7.2817e-5	2.2477e-5	6.7988e-6
r^N	2.011	2.001	2.000	2.000	2.000	-

DOI: https://doi.org/10.2478/ijmce-2024-0007 | Journal eISSN: 2956-7068

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Language: English

Page range: 85 - 96

Submitted on: Jun 7, 2023

Accepted on: Aug 7, 2023

Published on: Oct 31, 2023

Published by: Harran University

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Singular perturbation,

delay differential equation,

integro-differential equation,

finite difference scheme,

Related subjects:

Computer sciences,

Computer sciences, other,

Introductions and overviews,

Engineering, other,

General mathematics,

© 2023 Fevzi Erdoğan, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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