On the numerical solution of Volterra integral equations on equispaced nodes
Numerical Analysis
2022-07-15 v1 Numerical Analysis
Abstract
In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, defined for continuous functions and based on equally spaced points. Stability and convergence are studied in the space of continuous functions, and some numerical tests illustrate the performance of the proposed approach.
Keywords
Cite
@article{arxiv.2207.06736,
title = {On the numerical solution of Volterra integral equations on equispaced nodes},
author = {Luisa Fermo and Domenico Mezzanotte and Donatella Occorsio},
journal= {arXiv preprint arXiv:2207.06736},
year = {2022}
}