Galerkin finite element methods for two-dimensional RLW and SRLW equations

DOI10.1080/00036811.2017.1359568zbMath1433.65210OpenAlexW2745305059WikidataQ58169376 ScholiaQ58169376MaRDI QIDQ4685481

Liquan Mei, Ya-Li Gao

Publication date: 9 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1359568

zbMATH Keywords

finite element methodRLW equationSRLW equationbackward Euler formulaextrapolated Crank-Nicolson method

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08)

Related Items (5)

Exact traveling wave solutions of certain nonlinear partial differential equations using the \(\left(G^{\prime} / G^2\right)\)-expansion method ⋮ Two efficient methods for solving the generalized regularized long wave equation ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions ⋮ Solving the modified regularized long wave equations via higher degree B-spline algorithm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galerkin finite element method for the Rosenau-RLW equation
• Explicit multistep mixed finite element method for RLW equation
• Mixed finite element analysis for dissipative SRLW equations with damping term
• Explicit multistep method for the numerical solution of RLW equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Explicit finite difference methods for the EW and RLW equations
• Numerical schemes for a model for nonlinear dispersive waves
• Symbolic computation and observable effect for the (2 + 1)-dimensional symmetric regularized-long-wave equation from strongly magnetized cold-electron plasmas.
• 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
• Collocation solution for RLW equation with septic spline
• Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations
• The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
• A meshfree method for the numerical solution of the RLW equation
• Conservative schemes for the symmetric regularized long wave equations
• A conservative weighted finite difference scheme for regularized long wave equation
• A computational method for the regularized long wave (RLW) equation
• A symmetric regularized-long-wave equation
• Least-squares mixed finite element methods for the RLW equations
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: Galerkin finite element methods for two-dimensional RLW and SRLW equations