Article ID Journal Published Year Pages File Type
4643221 Journal of Computational and Applied Mathematics 2006 9 Pages PDF
Abstract
In this study, an implicit semi-discrete higher order compact (HOC) scheme, with an averaged time discretization, has been presented for the numerical solution of unsteady two-dimensional (2D) Schrödinger equation. The scheme is second order accurate in time and fourth order accurate in space. The results of numerical experiments are presented, and are compared with analytical solutions and well established numerical results of some other finite difference schemes. In all cases, the present scheme produces highly accurate results with much better computational efficiency.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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