A numerical method to compute the scattering solution for the KdV equation

Luisa Fermo;Cornelis van der Mee;Sebastiano Seatzu
2020-01-01

Abstract

The authors propose a numerical method to approximate the solution of specific bivariate Volterra integral equations which arise in the numerical solution of the initial value problem for the Korteweg-de Vries equation. A preliminary study of the domain of the unknown function is carried out and a general algorithm based on the Gauss-Legendre and Newton-Cotes quadrature formulae is developed. Numerical tests are also given in order to show the efficiency of the method.
2020
2019
Inglese
APPLIED NUMERICAL MATHEMATICS
149
3
16
14
WOS:000510314600002
2-s2.0-85068578967
https://www.sciencedirect.com/science/article/abs/pii/S0168927419301734?via=ihub
Esperti anonimi
internazionale
scientifica
Volterra integral equations; Korteweg-de Vries equation
no
Fermo, Luisa; VAN DER MEE, CORNELIS VICTOR MARIA; Seatzu, Sebastiano
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
3
reserved
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