Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643221 | Journal of Computational and Applied Mathematics | 2006 | 9 Pages |
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
Jiten C. Kalita, Puneet Chhabra, Sudhanshu Kumar,