Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

DOI10.1016/j.apnum.2020.05.002zbMath1442.65372OpenAlexW3025598014MaRDI QIDQ2189694

Publication date: 16 June 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.05.002

zbMATH Keywords

graded meshes nonsmooth solutions \(L1\)-type schemes coupled fractional Schrödinger equations discrete Grönwall inequalities Galerkin-Legendre spectral approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Cites Work

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