Pseudospectral methods for solving an equation of hypergeometric type with a perturbation

DOI10.1016/J.CAM.2009.06.004zbMath1189.65150OpenAlexW1971940699MaRDI QIDQ970404

H. Alıcı, Hasan Taşeli

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.004

zbMATH Keywords

numerical examplesSchrödinger operatorclassical orthogonal polynomialspseudospectral methodsequation of hypergeometric typeregular and singular Sturm-Liouville eigenvalue problems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (6)

Unification of Stieltjes‐Calogero type relations for the zeros of classical orthogonal polynomials ⋮ Spectrum of a q‐deformed Schrödinger equation by means of the variational method ⋮ Highly accurate pseudospectral approximations of the prolate spheroidal wave equation for any bandwidth parameter and zonal wavenumber ⋮ Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials

Uses Software

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