Numerical Treatments for Volterra Delay Integro-differential Equations-Reference-Cited by-同舟云学术

Numerical Treatments for Volterra Delay Integro-differential Equations

Published:2009 Issue:3 Volume:9 Page:292-318
ISSN:1609-9389
Container-title:Computational Methods in Applied Mathematics
language:
Short-container-title:Comput. Methods Appl. Math.

Author:

Rihan F. A.¹,Doha E. H.²,Hassan M. I.³,Kamel N. M.³

Affiliation:

1. 1Department of Mathematics, Helwan University, Cairo, Egypt.

2. 2Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

3. 3Department of Mathematics, Faculty of Engineering, Ain Shams University, Cairo, Egypt.

Abstract

AbstractThis 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.2478/cmam-2009-0018/pdf

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