New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

DOI10.4208/aamm.2014.m888zbMath1488.65357OpenAlexW2570972471WikidataQ57426802 ScholiaQ57426802MaRDI QIDQ5155229

Zhilin Li, Ming-Chih Lai, Zhi-Yue Zhang, Jin-Liang Yan

Publication date: 6 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2014.m888

zbMATH Keywords

energymassmomentumfinite volume element methodMRLW equation

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) Solitary waves in solid mechanics (74J35) PDEs in connection with mechanics of deformable solids (35Q74) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items

A new energy conservative scheme for regularized long wave equation., Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation

Cites Work

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• Energy-preserving finite volume element method for the improved Boussinesq equation
• A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect
• On the stability of periodic solutions of the generalized Benjamin-Bona-Mahony equation
• Numerical study of the modified regularized long wave (MRLW) equation
• Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
• A multisymplectic explicit scheme for the modified regularized long-wave equation
• An extension of the discrete variational method to nonuniform grids
• Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
• On first and second order box schemes
• Nonlinear and linear conservative finite difference schemes for regularized long wave equation
• A finite difference scheme for the MRLW and solitary wave interactions
• A collocation method with cubic B-splines for solving the MRLW equation
• An alternating discrete variational derivative method for coupled partial differential equations
• Quadratic finite volume element method for the improved Boussinesq equation
• Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
• A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
• Error estimates of finite volume element method for the pollution in groundwater flow
• Some Error Estimates for the Box Method
• Euler operators and conservation laws of the BBM equation
• ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
• Conservative numerical methods for solitary wave interactions
• Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
• Multi-Symplectic Method for the Zakharov-Kuznetsov Equation
• Finite volume methods for unidirectional dispersive wave models
• Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations