Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains

DOI10.1016/j.jcp.2022.111096OpenAlexW4214893878MaRDI QIDQ2139018

Yanyan Li

Publication date: 17 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111096

zbMATH Keywords

unbounded domainsHermite functionfractional LaplacianKlein-Gordon-Schrödinger systemESAV

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (5)

Mass-, Energy-, and Momentum-Preserving Spectral Scheme for Klein-Gordon-Schrödinger System on Infinite Domains ⋮ On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator ⋮ An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations ⋮ A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system ⋮ Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Uses Software

• OPQ

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