A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation (Q6176009)

scientific article; zbMATH DE number 7716401

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English	A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation	scientific article; zbMATH DE number 7716401

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instance of

scholarly article

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title

A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation (English)

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author

Almushaira Mustafa

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published in

International Journal of Computer Mathematics

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publication date

25 July 2023

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zbMATH Keywords

time-space fractional Schrödinger equation

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matrix transfer technique

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fast algorithm

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stability

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MaRDI profile type

MaRDI publication profile

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cites work

Time fractional Schrödinger equation revisited

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Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation

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A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator

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Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

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An efficient finite element method for the two-dimensional nonlinear time-space fractional Schrödinger equation on an irregular convex domain

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

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Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions

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Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation

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Q3421758

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Q5440446

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Ten equivalent definitions of the fractional Laplace operator

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Fractals and quantum mechanics

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-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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Galerkin finite element method for nonlinear fractional Schrödinger equations

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Fast L2-1$_\sigma$ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives

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Fast high order difference schemes for the time fractional telegraph equation

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What is the fractional Laplacian? A comparative review with new results

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Finite difference method for time-space-fractional Schrödinger equation

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Time fractional Schrödinger equation

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

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Q4003887

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Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

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Generalized fractional Schrödinger equation with space-time fractional derivatives

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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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Compact finite difference schemes with high accuracy for one-dimensional nonlinear Schrödinger equation

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme

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Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions

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A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations

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Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation

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

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Identifiers

zbMATH Open document ID

1524.35180

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DOI

10.1080/00207160.2023.2190422

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6176009