Fully decoupled and high-order linearly implicit energy-preserving RK-GSAV methods for the coupled nonlinear wave equation

DOI10.1016/j.cam.2024.115836zbMATH Open1541.65068MaRDI QIDQ6556761

Dongdong Hu

Publication date: 17 June 2024

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

zbMATH Keywords

unique solvabilityenergy-preserving methodsymplectic Runge-Kutta methodcoupled nonlinear wave equationGSAV approach

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Fractional partial differential equations (35R11)

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