On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes
Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 303–314
Abstract
In the present paper a general technique is developed for construction of compact high-order finite difference schemes to approximate Schrödinger problems on nonuniform meshes. Conservation of the finite difference schemes is investigated. The same technique is applied to construct compact high-order approximations of the Robin and Szeftel type boundary conditions. Results of computational experiments are presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-527
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 303–314
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: finite-difference schemes high-order approximation compact scheme Schrödinger equation Szeftel type boundary conditions.