Time Dependent Four Dimensional Burgers' Equation Solutions with Meshless Radial Basis Functions

2011 ◽  
Author(s):  
Edward J. Kansa ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Radial Basis Functions ◽  
Burgers Equation ◽  
Basis Functions ◽  
Time Dependent ◽  
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.

Radial Basis Functions for the Time-Dependent Schrödinger Equation

2011 ◽  
Author(s):  
Katharina Kormann ◽  
Elisabeth Larsson ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Radial Basis Functions ◽  
Basis Functions ◽  
Time Dependent ◽  
Radial Basis
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