The global analysis on the spectral collocation method for time fractional Schrödinger equation

DOI10.1016/j.amc.2019.124689zbMath1433.65248OpenAlexW2971963632MaRDI QIDQ2284309

Fawang Liu, Min-Ling Zheng, Zheng Meng Jin

Publication date: 14 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124689

zbMATH Keywords

spectral collocation methodCaputo fractional derivativetime fractional Schrödinger equationz-transform

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items

Finite difference schemes for time-fractional Schrödinger equations via fractional linear multistep method ⋮ A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations ⋮ Investigation of linear difference equations with random effects ⋮ High‐order finite difference/spectral‐Galerkin approximations for the nonlinear time–space fractional Ginzburg–Landau equation ⋮ Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation ⋮ Optimal error analysis of the alikhanov formula for a time-fractional Schrödinger equation ⋮ Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation

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