A new numerical approximation for Volterra integral equations combining two quadrature rules

DOI10.1016/j.amc.2011.07.008zbMath1232.65185OpenAlexW2049047265MaRDI QIDQ654667

Abdelaziz Mennouni

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.008

zbMATH Keywords

quadratureNyström methodtrapezoidal ruleVolterra integral equation of the second kindSimpson rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (3)

A collocation method based on roots of Chebyshev polynomial for solving Volterra integral equations of the second kind ⋮ A quadrature method for numerical solutions of fractional differential equations ⋮ A numerical method based on quadrature rules for \(\psi\)-fractional differential equations

Cites Work

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• Product integration for Volterra integral equations of the second kind with weakly singular kernels
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• Collectively compact sets of linear operators

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