\(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations
From MaRDI portal
Publication:1993577
DOI10.1007/s40314-017-0481-6zbMath1404.65094OpenAlexW2737879455MaRDI QIDQ1993577
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0481-6
iterative algorithmconservativecompact difference schemeconvergence in \(L^{\infty }\)-normgeneralized SRLW equations
Fixed-point theorems (47H10) 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) Iterative numerical methods for linear systems (65F10)
Related Items
A new linearized fourth-order conservative compact difference scheme for the SRLW equations, A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation, A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism, A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel, Linearized compact difference schemes applied to nonlinear variable coefficient parabolic equations with distributed delay, Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations, On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation, A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations, Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Mixed finite element analysis for dissipative SRLW equations with damping term
- A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation
- C-N difference schemes for dissipative symmetric regularized long wave equations with damping term
- Numerical solution of GRLW equation using sinc-collocation method
- Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation
- Numerical implementation for solving the symmetric regularized long wave equation
- Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation
- On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
- Numerical solution of RLW equation using linear finite elements within Galerkin's method
- Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation
- A new compact finite difference scheme for solving the complex Ginzburg-Landau equation
- A fourth-order conservative compact finite difference scheme for the generalized RLW equation
- Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation
- Effects of convection on a modified GRLW equation
- Conservative schemes for the symmetric regularized long wave equations
- A conservative weighted finite difference scheme for regularized long wave equation
- A decoupled and conservative difference scheme with fourth-order accuracy for the symmetric regularized long wave equations
- Application of a lumped Galerkin method to 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
- A symmetric regularized-long-wave equation
- New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- A three‐level linearized compact difference scheme for the Ginzburg–Landau equation
