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
Occorsio D.
2022-01-01
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.File in questo prodotto:
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