Weakly singular linear Volterra integral equations: A Nystrom method in weighted spaces of continuous functions
Fermo, Luisa 1Occorsio, Donatella2
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作者信息
1. Univ Cagliari
2. Univ Basilicata
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Abstract
This paper provides a Nystrom 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. (C) 2021 Elsevier B.V. All rights reserved.
Key words
Volterra integral equations/Nystrom method/Lagrange interpolation/Orthogonal Polynomials/2ND KIND/UNIFORM-CONVERGENCE/COLLOCATION METHODS/PROJECTION METHODS/FREDHOLM
NSTL
Elsevier