Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind
- 1 June 1991
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 17 (2) , 167-177
- https://doi.org/10.1145/108556.108562
Abstract
This paper describes a FORTRAN code for calculating approximate solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm is based on polynomial spline collocation, with the possibility of combination with the corresponding iterated collocation. It exploits certain local superconvergence properties for the error estimation and the stepsize strategy.Keywords
This publication has 2 references indexed in Scilit:
- The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation MethodsSIAM Journal on Scientific and Statistical Computing, 1987
- Integral equation models for endemic infectious diseasesJournal of Mathematical Biology, 1980