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 ◽

Author(s):

Li Jianyu ◽

Luo Siwei ◽

Qi Yingjian ◽

Huang Yaping

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Partial Differential Equation ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

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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 ◽

Author(s):

Jianyu Li ◽

Siwei Luo ◽

Yingjian Qi ◽

Yaping Huang

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Partial Differential Equation ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equation ◽

Partial Differential ◽

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

Open Journal of Mathematical Sciences ◽

10.30538/oms2020.0104 ◽

2020 ◽

Vol 4 (1) ◽

pp. 147-157 ◽

Author(s):

Kazeem Issa ◽

◽

Sulaiman M. Hambali ◽

Jafar Biazar ◽

◽

...

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Shape Parameter ◽

Partial Differential ◽

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SOLVING ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH DIRICHLET BOUNDARY CONDITIONS BASED ON NEURAL NETWORKS AND EXTREME LERANING MACHINE

KỶ YẾU HỘI NGHỊ KHOA HỌC CÔNG NGHỆ QUỐC GIA LẦN THỨ XIII NGHIÊN CỨU CƠ BẢN VÀ ỨNG DỤNG CÔNG NGHỆ THÔNG TIN - Proceedings of the 13th National Conference on Fundamental & Applied Information Technology Research ◽

10.15625/vap.2020.00160 ◽

2020 ◽

Author(s):

Ho Dac Quan ◽

Huynh Trung Hieu

Keyword(s):

Differential Equation ◽

Neural Networks ◽

Partial Differential Equation ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Elliptic Partial Differential Equation ◽

Dirichlet Boundary Conditions ◽

Partial Differential

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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 ◽

Author(s):

W. Elliott Hutchcraft ◽

Richard K. Gordon

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Scale Parameter ◽

Partial Differential ◽

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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 ◽

Author(s):

H. Power ◽

V. Barraco

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Collocation Methods ◽

Comparison Analysis ◽

Partial Differential ◽

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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 ◽

Author(s):

Suranon Yensiri ◽

Ruth Skulkhu

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

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Numerical solution of differential equations by radial basis function neural networks

Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290) ◽

10.1109/ijcnn.2002.1005571 ◽

2003 ◽

Author(s):

Li Jianyu ◽

Luo Siwei ◽

Qi Yingjian ◽

Huang Yaping

Keyword(s):

Neural Networks ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

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The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients

Journal of Research of the National Bureau of Standards ◽

10.6028/jres.085.022 ◽

1980 ◽

Vol 85 (5) ◽

pp. 367 ◽

Author(s):

J.G. Lewis ◽

R.G. Rehm

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Numerical Solution ◽

Elliptic Partial Differential Equation ◽

Conjugate Gradients ◽

Partial Differential ◽

Preconditioned Conjugate Gradients

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The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients

10.6028/nbs.ir.80-2056 ◽

1980 ◽

Author(s):

John Gregg Lewis ◽

Ronald G Rehm

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Numerical Solution ◽

Elliptic Partial Differential Equation ◽

Conjugate Gradients ◽

Partial Differential ◽

Preconditioned Conjugate Gradients

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Numerical solution of a linear elliptic partial differential equation with variable coefficients: A complex variable boundary element approach

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20667 ◽

2011 ◽

Vol 28 (3) ◽

pp. 954-965 ◽

Author(s):

Whye-Teong Ang

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Numerical Solution ◽

Boundary Element ◽

Complex Variable ◽

Elliptic Partial Differential Equation ◽

Variable Coefficients ◽

Partial Differential ◽

Variable Boundary ◽

Element Approach

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