Finite difference discretization of the Rosenau-RLW equation
DOI10.1080/00036811.2012.750296zbMath1290.65079OpenAlexW2077905173WikidataQ58264417 ScholiaQ58264417MaRDI QIDQ5404683
Lu-Ming Zhang, Ke-long Zheng, Xin-Tian Pan
Publication date: 28 March 2014
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2012.750296
stabilityconvergencenumerical experimentsfinite differenceCrank-Nicolson conservative schemeRosenau regularized long-wave equation
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) Higher-order nonlinear hyperbolic equations (35L75)
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Cites Work
- New conservative difference schemes for a coupled nonlinear Schrödinger system
- On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
- Galerkin method for the numerical solution of the RLW equation using quintic B-splines
- Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
- A discontinuous Galerkin method for the Rosenau equation
- A new conservative finite difference scheme for the Rosenau equation
- Difference schemes for solving the generalized nonlinear Schrödinger equation
- A conservative difference scheme for the Zakharov equations
- Numerical solution of RLW equation using linear finite elements within Galerkin's method
- Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- Least-squares quadratic B-spline finite element method for the regularised long wave equation
- Conservative nonlinear difference scheme for the Cahn-Hilliard equation. II
- Two conservative difference schemes for the generalized Rosenau equation
- A finite difference scheme for the MRLW and solitary wave interactions
- A finite difference scheme for generalized regularized long-wave equation
- Finite Difference Approximate Solutions for
- A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
- Numerical methods for the rosenau equation
- A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations
- Long waves on a beach
- Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary motion