A novel high-order symmetric and energy-preserving continuous-stage Runge-Kutta-Nyström Fourier pseudo-spectral scheme for solving the two-dimensional nonlinear wave equation

A novel high-order symmetric and energy-preserving continuous-stage Runge-Kutta-Nyström Fourier pseudo-spectral scheme for solving the two-dimensional nonlinear wave equation

The primary objective of this research is to develop a novel high-order symmetric and energy-preserving method for solving two-dimensional nonlinear wave equations. Initially, the nonlinear wave equation is reformulated as an abstract Hamiltonian ordinary differential equation (ODE) system with sepa...

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Bibliographic Details
Main Authors: Dongjie Gao, Peiguo Zhang, Longqin Wang, Zhenlong Dai, Yonglei Fang
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
two dimensional nonlinear wave equations
energy-preserving method
symmetry
continuous-stage runge-kutta-nyström method
fourier pseudo-spectral method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025310
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https://www.aimspress.com/article/doi/10.3934/math.2025310

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