# A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions

@article{Dehghan2007ANM, title={A numerical method for two-dimensional Schr{\"o}dinger equation using collocation and radial basis functions}, author={Mehdi Dehghan and Ali Shokri}, journal={Computers & Mathematics with Applications}, year={2007}, volume={54}, pages={136-146} }

- Published 2007 in Computers & Mathematics with Applications
DOI:10.1016/j.camwa.2007.01.038

In this paper, we propose a numerical scheme to solve the two-dimensional (2D) time-dependent Schrödinger equation using collocation points and approximating the solution using multiquadrics (MQ) and the Thin Plate Splines (TPS) Radial Basis Function (RBF). The scheme works in a similar fashion as finite-difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. c © 2007 Elsevier Ltd… CONTINUE READING

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