Year: 2023
Author: Chaolong Jiang, Xu Qian, Songhe Song, Chenxuan Zheng
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 4 : pp. 935–959
Abstract
Arbitrary high-order numerical schemes conserving the momentum and energy of the generalized Rosenau-type equation are studied. Derivation of momentum-preserving schemes is made within the symplectic Runge-Kutta method coupled with the standard Fourier pseudo-spectral method in space. Combining quadratic auxiliary variable approach, symplectic Runge-Kutta method, and standard Fourier pseudo-spectral method, we introduce a class of high-order mass- and energy-preserving schemes for the Rosenau equation. Various numerical tests illustrate the performance of the proposed schemes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2022-308.300123
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 4 : pp. 935–959
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Momentum-preserving energy-preserving high-order symplectic Runge-Kutta method Rosenau equation.