Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators
DOI10.1051/m2an/2021049zbMath1486.65209arXiv2002.05334OpenAlexW3197220693WikidataQ114105429 ScholiaQ114105429MaRDI QIDQ5034806
Suna Ma, Lueling Jia, Chang-Tao Sheng, Li-Lian Wang, Hui-yuan Li
Publication date: 21 February 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.05334
integral fractional Laplaciangeneralised Hermite polynomials/functionsMüntz-type generalised Hermite functionsSchrödinger operators with fractional spower potential
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fractional partial differential equations (35R11)
Related Items (4)
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