Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
From MaRDI portal
Publication:2944214
DOI10.1093/imanum/dru040zbMath1348.65121arXiv1208.6410OpenAlexW2155763352MaRDI QIDQ2944214
Ujjwal Koley, Helge Holden, Nils Henrik Risebro
Publication date: 28 August 2015
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.6410
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 (14)
Convergence of finite difference schemes for the Benjamin-Ono equation ⋮ A convergent Crank-Nicolson Galerkin scheme for the Benjamin-Ono equation ⋮ Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs ⋮ Convergence of a finite difference method for the KdV and modified KdV equations with \(L^2\) data ⋮ Convergence of a Higher Order Scheme for the Korteweg--De Vries Equation ⋮ Operator splitting for the fractional Korteweg‐de Vries equation ⋮ Low-regularity integrator for the Davey-Stewartson II system ⋮ Convergence of a full discrete finite element method for the Korteweg-de Vries equation ⋮ Operator splitting for the Benjamin-Ono equation ⋮ Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods ⋮ Well-posedness and unique continuation property for the solutions to the generalized Kawahara equation below the energy space ⋮ Theoretical developments in the study of partial differential equations ⋮ Convergence of the Crank-Nicolson extrapolation scheme for the Korteweg-de Vries equation
This page was built for publication: Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
