Article ID Journal Published Year Pages File Type
472577 Computers & Mathematics with Applications 2007 11 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, ,