High-order compact finite difference schemes for solving the regularized long-wave equation
From MaRDI portal
Publication:6101749
DOI10.1016/j.apnum.2022.11.016MaRDI QIDQ6101749
Yongbin Ge, Lin Zhang, Xiaojia Yang
Publication date: 20 June 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- Compact finite difference schemes with spectral-like resolution
- A fourth-order scheme for incompressible Boussinesq equations
- On the operator splitting and integral equation preconditioned deferred correction methods for the ``good Boussinesq equation
- High-order conservative Crank-Nicolson scheme for regularized long wave equation
- Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
- Essentially compact schemes for unsteady viscous incompressible flows
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations
- A Strang splitting approach combined with Chebyshev wavelets to solve the regularized long-wave equation numerically
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- A meshfree method for the numerical solution of the RLW equation
- Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
- Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme
- The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
- The conservative and fourth-order compact finite difference schemes for regularized long wave equation
- A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
- A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation
- Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations
- B-spline collocation algorithms for numerical solution of the RLW equation
- High-order compact difference scheme for the regularized long wave equation
- Numerical study using explicit multistep <scp>G</scp>alerkin finite element method for the <scp>MRLW</scp> equation
- A meshless method using the radial basis functions for numerical solution of the regularized long wave equation
- The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis
- A computational method based on Hermite wavelets for two‐dimensional Sobolev and regularized long wave equations in fluids
- OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- A numerical solution of the RLW equation by Galerkin method using quartic B‐splines
- A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation
- A FOURTH ORDER DIFFERENCE SCHEME FOR THE MAXWELL EQUATIONS ON YEE GRID
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: High-order compact finite difference schemes for solving the regularized long-wave equation