A Numerical Method for 1D Time-Dependent Schrodinger Equation Using Radial Basis Functions

Authors

Tongsong Jiang, Linyi Normal University
Zhaolin Jiang, Linyi Normal University
Joseph Kolibal, University of Southern MississippiFollow

Document Type

Article

Publication Date

3-1-2013

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

This paper proposes a new numerical method to solve the 1D time-dependent Schrodinger equations based on the finite difference scheme by means of multiquadrics (MQ) and inverse multiquadrics (IMQ) radial basis functions. The numerical examples are given to confirm the good accuracy of the proposed methods.

Publication Title

International Journal of Computational Methods

Volume

10

Issue

2

Recommended Citation

Jiang, T., Jiang, Z., Kolibal, J. (2013). A Numerical Method for 1D Time-Dependent Schrodinger Equation Using Radial Basis Functions. International Journal of Computational Methods, 10(2).
Available at: https://aquila.usm.edu/fac_pubs/7728