Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

DOI10.4208/aamm.OA-2016-0044zbMath1488.65503OpenAlexW2735441076MaRDI QIDQ5155283

Qikui Du, Qi Hong, Yu Shun Wang

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.oa-2016-0044

zbMATH Keywords

generalized fifth-order KdV equationaverage vector fieldFourier pseudospectralglobal energ ypreservinglocal energy-preserving

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for integral transforms (65R10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation ⋮ Optimal error estimate of two linear and momentum‐preserving Fourier pseudo‐spectral schemes for the RLW equation ⋮ An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations ⋮ Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa-Holm equation

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