Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis

DOI10.1016/j.jmaa.2016.09.047zbMath1352.65228OpenAlexW2528994378MaRDI QIDQ335396

Hua Liang, Jiaxiang Cai, Yuezheng Gong

Publication date: 2 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.047

zbMATH Keywords

conservation lawundular boreregularized long-wave equationMaxwellian pulsemomentum-preserving algorithmsolitary

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (6)

Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations ⋮ Analytical and numerical studies on dynamic of complexiton solution for complex nonlinear dispersive model ⋮ A two-grid block-centered finite difference method for the nonlinear regularized long wave equation ⋮ Local momentum-preserving algorithms for the GRLW equation ⋮ High-performance computing of structure-preserving algorithm for the coupled BBM system formulated by weighted compact difference operators

Cites Work

• Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
• Multisymplectic numerical method for the regularized long-wave equation
• Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs
• Local structure-preserving algorithms for partial differential equations
• Numerical solution of RLW equation using linear finite elements within Galerkin's method
• Application of a lumped Galerkin method to the regularized long wave equation
• A computational method for the regularized long wave (RLW) equation
• B-spline collocation algorithms for numerical solution of the RLW equation
• Numerical solution of regularized long-wave equation
• A new explicit multisymplectic scheme for the regularized long-wave equation
• Euler operators and conservation laws of the BBM equation
• A new class of energy-preserving numerical integration methods
• Model equations for long waves in nonlinear dispersive systems
• A least-squares finite element scheme for the RLW equation
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Solitary waves of the splitted RLW equation

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