Numerical Treatments for Volterra Delay Integro-Differential Equations

F. R. Rihan, E. H. Doha, M. I. Hassan, N. M. Kamel

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

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 (described in [12]) 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.

Original languageEnglish
Pages (from-to)292-318
Number of pages27
JournalComputational Methods in Applied Mathematics
Volume9
Issue number3
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Boole's quadrature rule
  • Volterra delay integro-differential equation
  • mono-implicit RK method
  • stability
  • time-lag

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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