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.
2023
Volterra integral equations; Nystrom method; Generalized Bernstein polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/360878
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