Sinc-Integral method to solve the linear Schrodinger equation

The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method. We show that our method is more accurate than Sinc-Collocation method. Some properties of the Sinc me...

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Bibliographic Details
Published in:Mathematics and computational sciences 2020-10, Vol.1 (1), p.43-50
Main Authors: Seyed Mohammad Ali Aleomraninjad, Parisa Abbasi
Format: Article
Language:English
Subjects:
eigenvalue problem
fredholm integral equations
linear schrodinger equation
sinc-collocation method
volterra integral equations
Online Access:Get full text
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Summary:The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method. We show that our method is more accurate than Sinc-Collocation method. Some properties of the Sinc methods required for our subsequent development are given and utilized. Numerical examples are included to demonstrate the validity and applicability of the presented techniques.
ISSN:2717-2708
DOI:10.30511/mcs.2020.44863