Abstract
We describe some issues related to the development of a new code for numerical solution of systems of Volterra integral equations of the second kind. This code is based on A- and V 0 -stable natural Volterra Runge-Kutta method of order p=4 implemented in a variable stepsize environment. This method was derived by Conte et al. (2014) [13]. The numerical experiments on many equations and systems of equations illustrate that the code achieves the expected order of accuracy, and confirm its efficiency and robustness.
Original language | English (US) |
---|---|
Pages (from-to) | 35-50 |
Number of pages | 16 |
Journal | Applied Numerical Mathematics |
Volume | 143 |
DOIs | |
State | Published - Sep 2019 |
Keywords
- A- and V -stability
- Implementation issues
- Natural Volterra Runge-Kutta methods
- Volterra integral equation of the second kind
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics