Discrete Artificial Boundary Conditions for the Korteweg-de Vries EquationReportar como inadecuado




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1 IMT - Institut de Mathématiques de Toulouse UMR5219 2 Bergische Universität Wuppertal 3 RAPSODI - Reliable numerical approximations of dissipative systems LPP - Laboratoire Paul Painlevé, Inria Lille - Nord Europe 4 Université de Lille, Sciences et Technologies

Abstract : In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artificial boundary conditions for these two full discretization using Z-transformation. We give some numerical benchmark examples from the literature to illustrate our findings.

Keywords : KdV equation Numerical simulation artificial boundary conditions





Autor: Christophe Besse - Matthias Ehrhardt - Ingrid Lacroix-Violet -

Fuente: https://hal.archives-ouvertes.fr/



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