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

2007 ◽  
Vol 54 (1) ◽  
pp. 136-146 ◽  
Author(s):  
Mehdi Dehghan ◽  
Ali Shokri
Keyword(s):  
Schrödinger Equation ◽  
Numerical Method ◽  
Radial Basis Functions ◽  
Schrodinger Equation ◽  
Basis Functions ◽  
Two Dimensional ◽  
Radial Basis

A NUMERICAL METHOD FOR 1D TIME-DEPENDENT SCHRÖDINGER EQUATION USING RADIAL BASIS FUNCTIONS

2013 ◽  
Vol 10 (02) ◽  
pp. 1341010 ◽  
Author(s):  
TONGSONG JIANG ◽  
ZHAOLIN JIANG ◽  
JOSEPH KOLIBAL
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Numerical Method ◽  
Radial Basis Functions ◽  
Finite Difference Scheme ◽  
Good Accuracy ◽  
Basis Functions ◽  
Time Dependent ◽  
Numerical Examples ◽  
Radial Basis

This paper proposes a new numerical method to solve the 1D time-dependent Schrödinger 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.

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