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

作者：Zhang, Shengliang^*; Chen, Siyan

来源：Computers & Mathematics with Applications, 2016, 72(9): 2143-2150.

DOI：10.1016/j.camwa.2016.08.014

• Meshless method
• Radial basis functions
• Two-dimensional Schrodinger equation
• Symplectic integrator

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.

• 出版日期2016-11
• 单位浙江外国语学院; 浙江传媒学院