scholarly journals A numerical study on reaction-diffusion problem using radial basis functions

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
K. Parand ◽  
S. Kazem ◽  
A.R. Rezaei
Keyword(s):  
Radial Basis Functions ◽  
Numerical Study ◽  
Reaction Diffusion ◽  
Diffusion Problem ◽  
Basis Functions ◽  
Radial Basis

Numerical Study of Wind Field Adjustment with Radial Basis Functions

2012 ◽  
pp. 371-378
Author(s):  
Rafael Reséndiz ◽  
L. Héctor Juárez ◽  
Pedro González-Casanova ◽  
Daniel A. Cervantes ◽  
Christian Gout
Keyword(s):  
Radial Basis Functions ◽  
Wind Field ◽  
Numerical Study ◽  
Basis Functions ◽  
Radial Basis

scholarly journals Numerical study of meshless radial basis functions in the lid driven cavity problem

2018 ◽  
Author(s):  
Eko Prasetya Budiana ◽  
Indarto Indarto ◽  
Deendarlianto Deendarlianto ◽  
Pranowo Pranowo
Keyword(s):  
Radial Basis Functions ◽  
Numerical Study ◽  
Basis Functions ◽  
Driven Cavity ◽  
Radial Basis

scholarly journals Numerical Study of Fractional Mathieu Differential Equation Using Radial Basis Functions

2020 ◽  
Vol 7 (4) ◽  
pp. 568-576
Author(s):  
Hojjat Ghorbani ◽  
Yaghoub Mahmoudi ◽  
Farhad Dastmalchi Saei
Keyword(s):  
Differential Equation ◽  
Radial Basis Functions ◽  
Fractional Derivatives ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Mathieu Equation ◽  
Basis Functions ◽  
Damping Factor ◽  
Radial Basis ◽  
The Right

In this paper, we introduce a method based on Radial Basis Functions (RBFs) for the numerical approximation of Mathieu differential equation with two fractional derivatives in the Caputo sense. For this, we suggest a numerical integration method for approximating the improper integrals with a singularity point at the right end of the integration domain, which appear in the fractional computations. We study numerically the affects of characteristic parameters and damping factor on the behavior of solution for fractional Mathieu differential equation. Some examples are presented to illustrate applicability and accuracy of the proposed method. The fractional derivatives order and the parameters of the Mathieu equation are changed to study the convergency of the numerical solutions.

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