A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system (Q6184792)

scientific article; zbMATH DE number 7784407

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English	A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system	scientific article; zbMATH DE number 7784407

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instance of

scholarly article

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title

A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system (English)

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Computational and Applied Mathematics

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publication date

5 January 2024

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zbMATH Keywords

fractional Klein-Gordon-Schrödinger system

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fractional Laplacian operator

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Fourier spectral method

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Runge-Kutta method

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MaRDI profile type

MaRDI publication profile

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cites work

Analysis and Approximation of a Fractional Cahn--Hilliard Equation

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Q4187223

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Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations

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Exponential time differencing for stiff systems

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An exponential time differencing method for the nonlinear Schrödinger equation

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Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations

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A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations

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A kernel‐based method for solving the time‐fractional diffusion equation

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Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian

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Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation

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

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Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations

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A dissipative finite difference Fourier pseudo-spectral method for the Klein-Gordon-Schrödinger equations with damping mechanism

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Fourth-Order Time-Stepping for Stiff PDEs

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On the exchange of energy in coupled Klein --- Gordon equations

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Q5699297

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Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations

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Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation

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Linearly implicit conservative schemes for long-term numerical simulation of Klein-Gordon-Schrödinger equations

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Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

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A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation

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Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions

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Spectral Methods

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Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations

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An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations

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Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations

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The periodic wave solutions for the Klein-Gordon-Schrödinger equations

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A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations

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Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data

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Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Meshless symplectic and multi-symplectic algorithm for Klein-Gordon-Schrödinger system with local RBF collocation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40314-023-02495-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:6184792