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 language | English |
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Pages (from-to) | 292-318 |
Number of pages | 27 |
Journal | Computational Methods in Applied Mathematics |
Volume | 9 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2009 |
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