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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.

  • Keywords

finite-difference schemes, high-order approximation, compact scheme, Schrödinger equation, Szeftel type boundary conditions.

  • AMS Subject Headings

65M06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-303, author = {M. Radziunas, R. Ciegis and A. Mirinavicius}, 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 AU - M. Radziunas, R. Ciegis & A. Mirinavicius 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 and A. Mirinavicius. (2014). 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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