Explicit multistep mixed finite element method for RLW equation

DOI10.1155/2013/768976zbMath1275.65061OpenAlexW2136202466WikidataQ58917423 ScholiaQ58917423MaRDI QIDQ370201

Yan-Wei Du, Hong Li, Jin-Feng Wang, Yang Liu

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/768976

zbMATH Keywords

numerical resultsregularized long wave equationoptimal error estimatesmixed Galerkin methodexplicit multistep mixed finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items

FINITE DIFFERENCE/<i>H</i>¹-GALERKIN MFE PROCEDURE FOR A FRACTIONAL WATER WAVE MODEL, The time discontinuous \(H^1\)-Galerkin mixed finite element method for linear Sobolev equations, A Galerkin finite element method for numerical solutions of the modified regularized long wave equation, Mixed finite element methods for the Rosenau equation, Galerkin finite element methods for two-dimensional RLW and SRLW equations, An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit multistep method for the numerical solution of RLW equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Numerical schemes for a model for nonlinear dispersive waves
• Explicit multistep methods for nonstiff partial differential equations
• Linearly implicit methods for nonlinear evolution equations
• A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
• Numerical solution of RLW equation using linear finite elements within Galerkin's method
• Error estimates for a Galerkin method for a class of model equations for long waves
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• A meshfree method for the numerical solution of the RLW equation
• Application of a lumped Galerkin method to the regularized long wave equation
• \(H^1\)-Galerkin mixed finite element method for 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
• Quartic B-spline collocation algorithms for numerical solution of the RLW equation
• Least-squares mixed finite element methods for the RLW equations
• An evaluation of a model equation for water waves
• Euler operators and conservation laws of the BBM equation
• Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation
• B-Spline Collocation Methods For Numerical Solutions Of The Rlw Equation
• Model equations for long waves in nonlinear dispersive systems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• A least-squares finite element scheme for the RLW equation
• A computational method for regularized long wave equation
• Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method