A global meshless collocation particular solution method (integrated Radial Basis Function) for two-dimensional Stokes flow problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.09.069 ◽

2013 ◽

Vol 37 (6) ◽

pp. 4538-4547 ◽

Author(s):

C.A. Bustamante ◽

H. Power ◽

Y.H. Sua ◽

W.F. Florez

Keyword(s):

Radial Basis Function ◽

Stokes Flow ◽

Basis Function ◽

Solution Method ◽

Two Dimensional ◽

Flow Problems ◽

Radial Basis ◽

Meshless Collocation ◽

Particular Solution

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A global meshless collocation particular solution method for solving the two-dimensional Navier–Stokes system of equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.04.014 ◽

2013 ◽

Vol 65 (12) ◽

pp. 1939-1955 ◽

Author(s):

C.A. Bustamante ◽

H. Power ◽

W.F. Florez

Keyword(s):

Solution Method ◽

Stokes System ◽

Navier Stokes ◽

System Of Equations ◽

Two Dimensional ◽

Meshless Collocation ◽

Particular Solution

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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00618-7 ◽

2003 ◽

Vol 192 (7-8) ◽

pp. 941-954 ◽

Author(s):

C Shu ◽

H Ding ◽

K.S Yeo

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Stokes Equations ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Navier Stokes ◽

Two Dimensional ◽

Quadrature Method ◽

Navier Stokes Equations ◽

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Computational technique based on a Radial Basis Function network for microwave imaging of two- dimensional dielectric scatterers

2009 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC) ◽

10.1109/imoc.2009.5427614 ◽

2009 ◽

Author(s):

Bouzid Mhamdi ◽

Khaled Grayaa ◽

Taoufik Aguili

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Radial Basis Function Network ◽

Microwave Imaging ◽

Computational Technique ◽

Two Dimensional ◽

Radial Basis ◽

Function Network

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The Local Radial Basis Function Collocation Method for Solving Two-Dimensional Inverse Cauchy Problems

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2013.772004 ◽

2013 ◽

Vol 63 (4) ◽

pp. 284-303 ◽

Author(s):

Hsin-Fang Chan ◽

Chia-Ming Fan

Keyword(s):

Radial Basis Function ◽

Collocation Method ◽

Basis Function ◽

Two Dimensional ◽

Cauchy Problems ◽

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Radial Basis Function Neural Networks Classifier for Face Recognition : A Comparative Studies Using Two-Dimensional Preprocessing Algorithms

Journal of Korean institute of intelligent systems ◽

10.5391/jkiis.2019.29.2.104 ◽

2019 ◽

Vol 29 (2) ◽

pp. 104-110 ◽

Author(s):

Sang-Beom Park ◽

Sung-Kwun Oh

Keyword(s):

Neural Networks ◽

Face Recognition ◽

Radial Basis Function ◽

Basis Function ◽

Comparative Studies ◽

Two Dimensional ◽

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A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems

Australian Journal of Mechanical Engineering ◽

10.1080/14484846.2011.11464606 ◽

2011 ◽

Vol 8 (2) ◽

pp. 151-158

Author(s):

N Mai-Duy ◽

T Tran-Cong

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Control Volume ◽

Radial Basis Function Networks ◽

Flow Problems ◽

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A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2019.03.014 ◽

2019 ◽

Vol 104 ◽

pp. 1-7 ◽

Author(s):

Zhengjie Sun

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Approximation ◽

Nonlinear Schrödinger Equations ◽

Symplectic Method ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrodinger Equations ◽

Radial Basis ◽

Radial Basis Function Approximation

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Solution of stokes flow using an iterative DRBEM based on compactly-supported, positive-definite radial basis function

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(01)00307-8 ◽

2002 ◽

Vol 43 (3-5) ◽

pp. 607-619 ◽

Author(s):

D.L. Young ◽

C.C. Tsai ◽

T.I. Eldho ◽

A.H.-D. Cheng

Keyword(s):

Radial Basis Function ◽

Stokes Flow ◽

Basis Function ◽

Positive Definite ◽

Compactly Supported ◽

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A Meshless Local Radial Basis Function Method for Two-Dimensional Incompressible Navier-Stokes Equations

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2014.955779 ◽

2014 ◽

Vol 67 (4) ◽

pp. 320-337 ◽

Author(s):

Zhi Heng Wang ◽

Zhu Huang ◽

Wei Zhang ◽

Guang Xi

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Radial Basis ◽

Radial Basis Function Method

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Generalized Multiquadrics with Optimal Shape Parameter and Exponent for Deflection and Stress of Functionally Graded Plates

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.709.121 ◽

2014 ◽

Vol 709 ◽

pp. 121-124 ◽

Author(s):

Ying Tao Chen ◽

Song Xiang ◽

Wei Ping Zhao

Keyword(s):

Genetic Algorithm ◽

Radial Basis Function ◽

Collocation Method ◽

Basis Function ◽

Shape Parameter ◽

Optimal Shape ◽

Functionally Graded ◽

Functionally Graded Plates ◽

Radial Basis ◽

Meshless Collocation

Deflection and stress of simply functionally graded plates are calculated by the meshless collocation method based on generalized multiquadrics radial basis function. The generalized multiquadric radial basis function has the shape parameter c and exponent which have the important effect in the accuracy of the approximation. The deflection and stress of simply functionally graded plates are calculated using the generalized multiquadrics with optimal shape parameter and exponent which is optimized by the genetic algorithm.

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