Conservative difference scheme of solitary wave solutions of the generalized regularized long-wave equation
DOI10.1007/s13226-020-0468-7zbMath1462.65112OpenAlexW3120128611MaRDI QIDQ828908
Manel Labidi, Khaled Omrani, Asma Rouatbi
Publication date: 5 May 2021
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-020-0468-7
stabilityconvergenceexistencesolitary wavesuniquenessdifference schemeconservationGRLW equationMRLW equation
Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation
- Numerical solution of GRLW equation using sinc-collocation method
- Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
- Application of cubic B-splines for numerical solution of the RLW equation
- The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
- Numerical schemes for a model for nonlinear dispersive waves
- Numerical study of the regularized long-wave equation. I: Numerical methods
- Galerkin methods applied to some model equations for non-linear dispersive waves
- A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
- Collocation solution for RLW equation with septic spline
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- Least-squares quadratic B-spline finite element method for the regularised long wave 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 finite difference scheme for the MRLW and solitary wave interactions
- The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
- The use of Adomian decomposition method for solving the regularized long-wave equation
- A computational method for the regularized long wave (RLW) equation
- A finite difference scheme for generalized regularized long-wave equation
- Collocation method using quadratic B-spline for the RLW equation
- Numerical solution of regularized long-wave equation
- Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation
- A meshless method using the radial basis functions for numerical solution of the regularized long wave equation
- Model equations for long waves in nonlinear dispersive systems
- A least-squares finite element scheme for the RLW equation
- A computational method for regularized long wave equation
- Solitary waves of the splitted RLW equation
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