This paper provides a Nyström method for the numerical solution of Volterra integral equations whose kernels contain singularities of algebraic type. It is proved that the method is stable and convergent in suitable weighted spaces. An error estimate is also given as well as several numerical tests are presented.

Weakly singular linear Volterra integral equations: A Nyström method in weighted spaces of continuous functions

Fermo L.
;
2022

Abstract

This paper provides a Nyström method for the numerical solution of Volterra integral equations whose kernels contain singularities of algebraic type. It is proved that the method is stable and convergent in suitable weighted spaces. An error estimate is also given as well as several numerical tests are presented.
Lagrange interpolation
Nyström method
Orthogonal Polynomials
Volterra integral equations
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/325787
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