An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations

DOI10.1016/j.amc.2019.01.040zbMath1429.65209OpenAlexW2912832537WikidataQ128467903 ScholiaQ128467903MaRDI QIDQ2010570

Yu Li, Yang Xu, Jingjun Zhao

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.040

zbMATH Keywords

energy conservationextended Runge-Kutta-Nyström methodLubich difference operatorRiesz space fractional wave equation

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

Related Items (5)

Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation ⋮ Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions ⋮ A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations ⋮ An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations ⋮ Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique

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