The Laguerre Pseudospectral Method for the M Dimensional Radial Schrödinger Equation

Date

2013-09-07

Author

ALICI, HAYDAR
Taşeli, Hasan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

119
views

0
downloads

URI

https://hdl.handle.net/11511/97551

Conference Name

26. Ulusal Matematik Sempozyumu (Özet metni yayımlanmış ulusal bildiri)

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

The Laguerre pseudospectral method for the radial Schrodinger equation ALICI, HAYDAR; Taşeli, Hasan (2015-01-01) By transforming dependent and independent variables, radial Schrodinger equation is converted into a form resembling the Laguerre differential equation. Therefore, energy eigenvalues and wavefunctions of M-dimensional radial Schrodinger equation with a wide range of isotropic potentials are obtained numerically by using Laguerre pseudospectral methods. Comparison with the results from literature shows that the method is highly competitive. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line Taşeli, Hasan (Springer Science and Business Media LLC, 2007-05-01) Hermite-Weber functions provide a natural expansion basis for the numerical treatment of the Schrodinger equation on the whole real line. For the reflection symmetric Hamiltonians, however, it is shown here that the transformation of the problem over the half line and use of a Laguerre basis is computationally much more efficient in a pseudospectral scheme.
The dual reciprocity boundary element method solution of fluid flow problems Gümgüm, Sevin; Tezer, Münevver; Department of Scientific Computing (2010) In this thesis, the two-dimensional, transient, laminar flow of viscous and incompressible fluids is solved by using the dual reciprocity boundary element method (DRBEM). Natural convection and mixed convection flows are also solved with the addition of energy equation. Solutions of natural convection flow of nanofluids and micropolar fluids in enclosures are obtained for highly large values of Rayleigh number. The fundamental solution of Laplace equation is used for obtaining boundary element method (BEM) ...
The method of separation of variables for Laplace-Beltrami equation in semi-Riemannian geometry Kupeli, DN (1994-07-30)
The method of lines solution of the discrete ordinates method for radiative heat transfer in enclosures Selçuk, Nevin; Külah, Görkem (2000-04-01) A radiation code based on the method of fines (MOL) solution of the discrete ordinates method (DOM) for transient three-dimensional radiative heat transfer in rectangular enclosures for use in conjunction with a computational fluid dynamics (CFD) code based on the same approach,vas developed. Assessment of the predictive accuracy of the code by benchmarking its steady-state solutions against exact solutions on one- and three-dimensional test problems shows that the MOL solution of the DOM provides accurate ...

Citation Formats

H. ALICI and H. Taşeli, “The Laguerre Pseudospectral Method for the M Dimensional Radial Schrödinger Equation,” presented at the 26. Ulusal Matematik Sempozyumu (Özet metni yayımlanmış ulusal bildiri), Diyarbakır, Türkiye, 2013, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/97551.