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

DOI10.1016/j.aml.2018.06.028zbMath1412.65140OpenAlexW2811108890MaRDI QIDQ1726439

Wenping Fan, Hai-Tao Qi

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.06.028

zbMATH Keywords

finite element methoderror analysisirregular domaintwo-dimensional nonlinear fractional Schrödinger equation

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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