A meshless symplectic method for two-dimensional Schrodinger equation with radial basis functions

摘要

In this study we propose a meshless symplectic algorithm for two-dimensional time dependent Schrodinger equation with radial basis functions (RBFs) approximation theory. The truncation error and global error are also investigated. The numerical experiments show that the scheme is higher-order accuracy, easy to implement with the scattered knots. Furthermore, the algorithm possesses a long-time tracking capability. (C) 2016 Elsevier Ltd. All rights reserved.