The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

DOI10.4208/NMTMA.OA-2019-0038zbMath1463.65246OpenAlexW2994190580MaRDI QIDQ5143937

Xuping Wang, Zhi-zhong Sun, Jin-ye Shen

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0038

zbMATH Keywords

convergenceexistenceboundednessdifference schemenonlinear Korteweg-de Vries equationconservation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (3)

Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems ⋮ A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation ⋮ A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing

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