Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr


IMPACT FACTOR 2017: 0.658

CiteScore 2017: 1.05

SCImago Journal Rank (SJR) 2017: 1.291
Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.76

Online
ISSN
1609-9389
See all formats and pricing
More options …
Volume 9, Issue 3

Issues

Numerical Treatments for Volterra Delay Integro-differential Equations

F. A. Rihan
E. H. Doha
M. I. Hassan
N. M. Kamel

Abstract

This paper presents a new technique for numerical treatments of Volterra delay integro-differential equations that have many applications in biological and physical sciences. The technique is based on the mono-implicit Runge — Kutta method for treating the differential part and the collocation method (using Boole’s quadrature rule) for treating the integral part. The efficiency and stability properties of this technique have been studied. Numerical results are presented to demonstrate the effectiveness of the methodology.

Keywords: mono-implicit RK method; Boole’s quadrature rule; Volterra delay integro-differential equation; stability; time-lag

About the article

Received: 2009-03-15

Revised: 2009-08-28

Accepted: 2009-09-16

Published in Print:


Citation Information: Computational Methods in Applied Mathematics Comput. Methods Appl. Math., Volume 9, Issue 3, Pages 292–318, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.2478/cmam-2009-0018.

Export Citation

© Institute of Mathematics, NAS of Belarus. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 4.0

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Elçin Gökmen, Burcu Gürbüz, and Mehmet Sezer
Computational and Applied Mathematics, 2018
[4]
Umer Saeed, Mujeeb ur Rehman, and Muhammad Asad Iqbal
Applied Mathematics and Computation, 2015, Volume 264, Page 431
[5]
P. Balasubramaniam, M. Prakash, Fathalla A. Rihan, and S. Lakshmanan
Abstract and Applied Analysis, 2014, Volume 2014, Page 1
[6]
F. A. Rihan, D. H. Abdelrahman, F. Al-Maskari, F. Ibrahim, and M. A. Abdeen
Computational and Mathematical Methods in Medicine, 2014, Volume 2014, Page 1
[7]
Şuayip Yüzbaşı
Applied Mathematics and Computation, 2014, Volume 232, Page 1183

Comments (0)

Please log in or register to comment.
Log in