A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions. (November 2016)

• Record Type: Journal Article
• Authors: Zhang, Shengliang; Chen, Siyan
• Is Part Of: Computers & mathematics with applications. Volume 72:issue 9(2016)
• Page Start: 2143
• Page End: 2150
• Publication Date: 2016-11
• Subjects: Meshless method -- Radial basis functions -- Two-dimensional Schrödinger equation -- Symplectic integrator; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.08.014
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this study we propose a meshless symplectic algorithm for two-dimensional time-dependent Schrödinger 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.