A Numerical Method for the Generalized Boussinesq Equation using Collocation and Radial Basis Functions

2012 ◽  
Author(s):  
Abdur Rashid
Keyword(s):  
Numerical Method ◽  
Radial Basis Functions ◽  
Boussinesq Equation ◽  
Basis Functions ◽  
Radial Basis ◽  
Generalized Boussinesq Equation

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.

An improved numerical method for a class of astrophysics problems based on radial basis functions

2011 ◽  
Vol 83 (1) ◽  
pp. 015011 ◽  
Author(s):  
K Parand ◽  
S Abbasbandy ◽  
S Kazem ◽  
A R Rezaei
Keyword(s):  
Numerical Method ◽  
Radial Basis Functions ◽  
Basis Functions ◽  
Radial Basis
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