scholarly journals Numerical solution of Poisson’s equation using radial basis function networks on the polar coordinate

2008 ◽  
Vol 56 (11) ◽  
pp. 2887-2895 ◽  
Author(s):  
A. Aminataei ◽  
M.M. Mazarei
Keyword(s):  
Radial Basis Function ◽  
Numerical Solution ◽  
Basis Function ◽  
Poisson’S Equation ◽  
Radial Basis Function Networks ◽  
Poisson's Equation ◽  
Radial Basis ◽  
Polar Coordinate

scholarly journals Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Mohammad Mehdi Mazarei ◽  
Azim Aminataei
Keyword(s):  
Radial Basis Function ◽  
Numerical Solution ◽  
Condition Number ◽  
Basis Function ◽  
Elliptic Partial Differential Equations ◽  
Basis Functions ◽  
Poisson’S Equation ◽  
Radial Basis Function Networks ◽  
Poisson's Equation ◽  
Radial Basis

This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameterr. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable.

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