A semi-discrete numerical scheme for nonlocally regularized KdV-type equations
DOI10.1016/J.APNUM.2022.02.003zbMath1484.65180arXiv2202.01262OpenAlexW4210573975MaRDI QIDQ2120790
H. A. Erbay, Albert Kohen Erkip, Saadet Erbay
Publication date: 1 April 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.01262
discretizationerror estimatesKdV equationsemi-discrete schemeRosenau equationnonlocal nonlinear wave equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Cites Work
- A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
- Solitons and periodic solutions for the Rosenau-KdV and Rosenau-Kawahara equations
- A semi-discrete numerical method for convolution-type unidirectional wave equations
- A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D
- An evaluation of a model equation for water waves
- Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations
- Model equations for long waves in nonlinear dispersive systems
- Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
This page was built for publication: A semi-discrete numerical scheme for nonlocally regularized KdV-type equations
