Solving high order ordinary differential equations with radial basis function networks

N. Mai-Duy

doi:10.1002/nme.1220

Solving high order ordinary differential equations with radial basis function networks

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1220 ◽

2005 ◽

Vol 62 (6) ◽

pp. 824-852 ◽

Cited By ~ 50

Author(s):

N. Mai-Duy

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Ordinary Differential Equations ◽

Basis Function ◽

High Order ◽

Radial Basis Function Networks ◽

Radial Basis

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Solving high-order partial differential equations with indirect radial basis function networks

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1332 ◽

2005 ◽

Vol 63 (11) ◽

pp. 1636-1654 ◽

Cited By ~ 19

Author(s):

N. Mai-Duy ◽

R. I. Tanner

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

High Order ◽

Radial Basis Function Networks ◽

Partial Differential ◽

Radial Basis

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Approximate Solutions of Initial Value Problems for Ordinary Differential Equations Using Radial Basis Function Networks

Neural Processing Letters ◽

10.1007/s11063-017-9761-9 ◽

2017 ◽

Vol 48 (2) ◽

pp. 1063-1071 ◽

Cited By ~ 8

Author(s):

Fatma B. Rizaner ◽

Ahmet Rizaner

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Ordinary Differential Equations ◽

Basis Function ◽

Initial Value Problems ◽

Approximate Solutions ◽

Radial Basis Function Networks ◽

Initial Value ◽

Radial Basis

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Approximation on an Infinite Range to Ordinary Differential Equations Solutions by a Function of a Radial Basis function

Algorithms for Approximation ◽

10.1007/978-3-540-46551-5_20 ◽

2006 ◽

pp. 269-278

Author(s):

Damian P. Jenkinson ◽

John C. Mason

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Ordinary Differential Equations ◽

Basis Function ◽

Radial Basis ◽

Infinite Range

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Comparison of generalization ability on solving differential equations using backpropagation and reformulated radial basis function networks

Neurocomputing ◽

10.1016/j.neucom.2009.02.026 ◽

2009 ◽

Vol 73 (1-3) ◽

pp. 115-118 ◽

Cited By ~ 16

Author(s):

Bumghi Choi ◽

Ju-Hong Lee

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Radial Basis Function Networks ◽

Generalization Ability ◽

Radial Basis

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Radial basis function networks in the numerical solution of linear integro-differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.10.004 ◽

2007 ◽

Vol 188 (1) ◽

pp. 427-432 ◽

Cited By ~ 21

Author(s):

A. Golbabai ◽

S. Seifollahi

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Radial Basis Function Networks ◽

Radial Basis

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A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations

Lecture Notes in Computational Science and Engineering - Meshfree Methods for Partial Differential Equations IV ◽

10.1007/978-3-540-79994-8_9 ◽

2008 ◽

pp. 141-155

Author(s):

N. Mai-Duy ◽

T. Tran-Cong

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Elliptic Partial Differential Equations ◽

Radial Basis Function Networks ◽

Partial Differential ◽

Radial Basis

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Numerical solution of differential equations using multiquadric radial basis function networks

Neural Networks ◽

10.1016/s0893-6080(00)00095-2 ◽

2001 ◽

Vol 14 (2) ◽

pp. 185-199 ◽

Cited By ~ 195

Author(s):

Nam Mai-Duy ◽

Thanh Tran-Cong

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Radial Basis Function Networks ◽

Radial Basis

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Online functional prediction for spatio-temporal systems using time-varying Radial Basis Function networks

2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010) ◽

10.1109/car.2010.5456749 ◽

2010 ◽

Cited By ~ 2

Author(s):

J. Su ◽

T.J. Dodd

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Radial Basis Function Networks ◽

Time Varying ◽

Functional Prediction ◽

Radial Basis ◽

Spatio Temporal

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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):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Partial Differential ◽

Radial Basis

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Characterization of Concentrating Photovoltaic modules by cooperative competitive Radial Basis Function Networks

Expert Systems with Applications ◽

10.1016/j.eswa.2012.09.016 ◽

2013 ◽

Vol 40 (5) ◽

pp. 1599-1608 ◽

Cited By ~ 20

Author(s):

A.J. Rivera ◽

B. García-Domingo ◽

M.J. del Jesus ◽

J. Aguilera

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Radial Basis Function Networks ◽

Photovoltaic Modules ◽

Radial Basis

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