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Volume 11, Issue 2
On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes

M. Radziunas, R. Ciegis & A. Mirinavicius

Int. J. Numer. Anal. Mod., 11 (2014), pp. 303-314.

Published online: 2014-11

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  • 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.

  • AMS Subject Headings

65M06

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-303, author = {}, title = {On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/527.html} }
TY - JOUR T1 - On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 303 EP - 314 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/527.html KW - finite-difference schemes, high-order approximation, compact scheme, Schrödinger equation, Szeftel type boundary conditions. AB -

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.

M. Radziunas, R. Ciegis & A. Mirinavicius. (1970). On Compact High Order Finite Difference Schemes for Linear Schrödinger Problem on Non-Uniform Meshes. International Journal of Numerical Analysis and Modeling. 11 (2). 303-314. doi:
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