Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations

DOI10.1016/j.amc.2019.06.003zbMath1488.65525OpenAlexW2954879245MaRDI QIDQ2660071

Emran Tohidi, Yin Yang, Jindi Wang, Shangyou Zhang

Publication date: 29 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.003

zbMATH Keywords

convergence analysistime-fractional Schrödinger equationGauss-type quadratureJacobi spectral-collocation method

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Iterative numerical methods for linear systems (65F10) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Volterra integral equations (45D05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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