The conservative and fourth-order compact finite difference schemes for regularized long wave equation
From MaRDI portal
Publication:2423671
DOI10.1016/j.cam.2019.01.036zbMath1419.65033OpenAlexW2912700048MaRDI QIDQ2423671
Bo Wang, Tong-jun Sun, Dong Liang
Publication date: 20 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.01.036
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) Soliton equations (35Q51) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (13)
A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation ⋮ The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation ⋮ High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ High-order compact finite difference schemes for solving the regularized long-wave equation ⋮ A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations ⋮ Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries ⋮ Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation ⋮ A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ A two-grid block-centered finite difference method for the nonlinear regularized long wave equation ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme ⋮ Numerical solutions for a Timoshenko-type system with thermoelasticity with second sound
Cites Work
- Parametric spline solution of the regularized long wave equation
- A \(2N\) order compact finite difference method for solving the generalized regularized long wave (GRLW) equation
- Mixed Galerkin finite element methods for modified regularized long wave equation
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Explicit multistep method for the numerical solution of RLW equation
- Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
- Numerical implementation for solving the symmetric regularized long wave equation
- 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
- On the convergence of conservative difference schemes for the 2D generalized Rosenau-Korteweg de Vries equation
- A new conservative finite difference scheme for the Rosenau equation
- A multisymplectic explicit scheme for the modified regularized long-wave equation
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
- High-order conservative Crank-Nicolson scheme for regularized long wave equation
- The Fourier pseudospectral method with a restrain operator for the RLW equation
- Numerical solution of the regularized long wave equation using nonpolynomial splines
- A meshfree method for the numerical solution of the RLW equation
- A computational method for the regularized long wave (RLW) equation
- Numerical study using explicit multistep <scp>G</scp>alerkin finite element method for the <scp>MRLW</scp> equation
- Least-squares mixed finite element methods for the RLW equations
- A meshless method using the radial basis functions for numerical solution of the regularized long wave equation
- A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation
- Long waves on a beach
This page was built for publication: The conservative and fourth-order compact finite difference schemes for regularized long wave equation
