On the convergence of difference schemes for generalized Benjamin–Bona–Mahony equation

DOI10.1002/num.21810zbMath1355.65110OpenAlexW1499457783WikidataQ115398238 ScholiaQ115398238MaRDI QIDQ2874179

Givi Berikelashvili, Manana Mirianashvili

Publication date: 29 January 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21810

zbMATH Keywords

difference schemeorbital stabilitygeneralized Benjamin-Bona-Mahony equationcompatible estimate of convergence

Mathematics Subject Classification ID

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)

Related Items

Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation, Consistent convergence rate estimates in the grid \(W_{2,0}^2(\omega)\) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from \(W_{2,0}^m(\Omega)\), \(3 < m \leq 4\), The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation, Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients, On the convergence of difference schemes for the generalized BBM-Burgers equation, Unnamed Item

Cites Work

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• A finite difference solution of the regularized long-wave equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Application of the variational iteration method to the regularized long wave equation
• Numerical study of the regularized long-wave equation. I: Numerical methods
• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Galerkin methods applied to some model equations for non-linear dispersive waves
• An application of the decomposition method for the generalized KdV and RLW equations
• A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
• A finite difference scheme for the MRLW and solitary wave interactions
• Distributions, Sobolev spaces, elliptic equations
• Bounds for a class of linear functionals with applications to Hermite interpolation
• A finite difference scheme for generalized regularized long-wave equation
• Collocation method using quadratic B-spline for the RLW equation
• B-spline collocation algorithms for numerical solution of the RLW equation
• A one-parameter family of difference schemes for the regularized long-wave equation
• Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
• A Numerical Method for the Generalized Regularized Long Wave Equation Using a Reproducing Kernel Function
• Quartic B-spline collocation algorithms for numerical solution of the RLW equation
• Least-squares mixed finite element methods for the RLW equations
• A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation
• A new explicit multisymplectic scheme for the regularized long-wave equation
• Finite Difference Approximations of Generalized Solutions
• Long waves on a beach
• Model equations for long waves in nonlinear dispersive systems
• A least-squares finite element scheme for the RLW equation
• On the Differentiability of the Solutions of Quasilinear Partial Differential Equations
• Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary motion
• Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation