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 - <p style="text-align: justify;">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.</p>