Some linearly and non-linearly implicit schemes for the numerical solutions of the regularized long-wave equation

DOI10.1016/J.AMC.2011.04.040zbMath1220.65109OpenAlexW1976825559MaRDI QIDQ555407

Jiaxiang Cai

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.040

zbMATH Keywords

finite difference methodnumerical experimentssolitoninvariantmultisymplecticregularized long-wave equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Higher-order nonlinear hyperbolic equations (35L75)

Cites Work

• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• 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
• 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 least-squares finite element scheme for the RLW equation
• Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary motion
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
• Solitary waves of the splitted RLW equation

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