A meshless method for solving a class of nonlinear generalized telegraph equations with time-dependent coefficients based on radial basis functions

2020 ◽  
Vol 135 (9) ◽  
Author(s):  
Bin Zheng ◽  
Sergiy Reutskiy ◽  
Jun Lu
Keyword(s):  
Radial Basis Functions ◽  
Meshless Method ◽  
Basis Functions ◽  
Time Dependent ◽  
Radial Basis ◽  
Telegraph Equations

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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