A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations (Q2144129)

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English	A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations	scientific article

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title

A linearized conservative Galerkin-Legendre spectral method for the strongly coupled nonlinear fractional Schrödinger equations (English)

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Advances in Difference Equations

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publication date

1 June 2022

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zbMATH Keywords

fractional Schrödinger equation

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Legendre spectral method

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conservation law

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unconditional convergence

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spectral accuracy

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13662-020-03017-w

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cites work

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

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Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions

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Maximum-norm error analysis of a difference scheme for the space fractional CNLS

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

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Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation

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A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations

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An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

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

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A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

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Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation

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Variational formulation for the stationary fractional advection dispersion equation

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Galerkin finite element approximation of symmetric space-fractional partial differential equations

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Spectral Methods

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On the $L_\infty $ convergence of a difference scheme for coupled nonlinear Schrödinger equations

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Q4303980

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Identifiers

zbMATH Open document ID

1487.65164

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Mathematics Subject Classification ID

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10.1186/S13662-020-03017-W

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Mathematics(1 entry)

mardi Publication:2144129