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. Numerical tests illustrate the performance of the proposed approach.
On the numerical solution of Volterra integral equations on equispaced nodes
Fermo, L;Occorsio, D
2023-01-01
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. Numerical tests illustrate the performance of the proposed approach.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
pp9-23.pdf
accesso aperto
Tipologia:
versione editoriale
Dimensione
306.09 kB
Formato
Adobe PDF
|
306.09 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
