An algorithm for choosing best shape parameter for numerical solution of partial differential equation via inverse multiquadric radial basis function

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Shape Parameter ◽

Partial Differential ◽

Numerical solution of elliptic partial differential equation by growing radial basis function neural networks

Proceedings of the International Joint Conference on Neural Networks, 2003. ◽

10.1109/ijcnn.2003.1223302 ◽

2004 ◽

Cited By ~ 3

Author(s):

Jianyu Li ◽

Siwei Luo ◽

Yingjian Qi ◽

Yaping Huang

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

Numerical solution of elliptic partial differential equation using radial basis function neural networks

Neural Networks ◽

10.1016/s0893-6080(03)00083-2 ◽

2003 ◽

Vol 16 (5-6) ◽

pp. 729-734 ◽

Cited By ~ 61

Author(s):

Li Jianyu ◽

Luo Siwei ◽

Qi Yingjian ◽

Huang Yaping

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

On the effects of the radial basis function scale parameter on the numerical solution of partial differential equations

Microwave and Optical Technology Letters ◽

10.1002/mop.24347 ◽

2009 ◽

Vol 51 (6) ◽

pp. 1520-1524 ◽

Cited By ~ 1

Author(s):

W. Elliott Hutchcraft ◽

Richard K. Gordon

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Scale Parameter ◽

Partial Differential ◽

A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(01)00305-4 ◽

2002 ◽

Vol 43 (3-5) ◽

pp. 551-583 ◽

Cited By ~ 68

Author(s):

H. Power ◽

V. Barraco

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Collocation Methods ◽

Comparison Analysis ◽

Partial Differential ◽

An Investigation of Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Elliptic Partial Differential Equations

Mathematics ◽

10.3390/math5040054 ◽

2017 ◽

Vol 5 (4) ◽

pp. 54 ◽

Cited By ~ 7

Author(s):

Suranon Yensiri ◽

Ruth Skulkhu

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.12.013 ◽

2018 ◽

Vol 92 ◽

pp. 225-230

Author(s):

Marko Urleb ◽

Leopold Vrankar

Keyword(s):

Differential Equation ◽

Radial Basis Functions ◽

Shape Parameter ◽

Optimal Shape ◽

Basis Functions ◽

Partial Differential ◽

Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2021.2019248 ◽

2021 ◽

pp. 1-19

Author(s):

Yongtang Chen ◽

Qi Wang

Keyword(s):

Differential Equation ◽

Radial Basis Function ◽

Basis Function ◽

Meshfree Method ◽

Hyperbolic Partial Differential Equation ◽

Partial Differential ◽

Piecewise Constant Arguments ◽

Piecewise Constant ◽

Convergence And Stability

A Comparison Study on Shape Parameter Selection in Pattern Recognition by Radial Basis Function Neural Networks

Journal of Physics Conference Series ◽

10.1088/1742-6596/1921/1/012124 ◽

2021 ◽

Vol 1921 ◽

pp. 012124

Author(s):

S Tavaen ◽

S Kaennakham

Keyword(s):

Neural Networks ◽

Pattern Recognition ◽

Radial Basis Function ◽

Basis Function ◽

Shape Parameter ◽

Parameter Selection ◽

Comparison Study ◽

Radial Basis Function Methods for Solving Partial Differential Equations-A Review

Indian Journal of Science and Technology ◽

10.17485/ijst/2016/v9i45/105079 ◽

2016 ◽

Vol 9 (45) ◽

Author(s):

Gurpreet Singh Bhatia ◽

Geeta Arora

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Partial Differential ◽

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1500693 ◽

2018 ◽

Vol 96 (7) ◽

pp. 1416-1443 ◽

Cited By ~ 6

Author(s):

Pouria Assari ◽

Fatemeh Asadi-Mehregan ◽

Mehdi Dehghan

Keyword(s):

Radial Basis Function ◽

Numerical Solution ◽

Integral Equations ◽

Basis Function ◽

Function Method ◽

Fredholm Integral Equations ◽

Radial Basis ◽

Radial Basis Function Method