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Fuzzy multiquadric radial basis functions for solving fuzzy partial differential equations

Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Dirbaz, T. Allahviranloo
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Analysis of functionally graded piezoelectric Timoshenko smart beams using a multiquadric radial basis function method

Composite Structures, 2017
Abstract In the present work, a global interpolation scheme is proposed to describe the electro-mechanical static response of piezoelectric smart beams considering applied mechanical loads and electric potential. First, bimorph and three-layered Timoshenko smart beams are investigated and the model is validated for both actuator and sensor ...
T.R.C. Chuaqui, C.M.C. Roque
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Multiquadric Radial Basis Function Method for Boundary Value and Free Vibration Problems

Indian Journal of Industrial and Applied Mathematics, 2013
Radial basis function method is a generalized version of the multiquadric radial basis function method (MQRBF). It is considered an important tool for interpolating multidimensional scattered data. Its ability to handle arbitrarily scattered data, to easily generalize to several space dimensions, and to provide spectral accuracy have made it popular in
R. K. Misra, Sushil Kumar
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Fast Evaluation of Radial Basis Functions: Methods for Generalized Multiquadrics in $\RR^\protectn$

SIAM Journal on Scientific Computing, 2002
A generalized multiquadric radial basis function is a function of the form $ s(x) = \sum_{i=1}^N d_i \phi(|x -t_i|), $ where $ \phi(r)= ( r^2+\tau^2 )^{k/2}$, $x \in \mathbb{R}^n$, and $k\in\mathbb{Z}$ is odd. The direct evaluation of an N center generalized multiquadric radial basis function at m points requires $\mathcal{O}(m N)$ flops, which is ...
J. B. Cherrie   +2 more
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Evolutionary design of Multiquadric radial basis functions neural network for face recognition

2013 Fourth National Conference on Computer Vision, Pattern Recognition, Image Processing and Graphics (NCVPRIPG), 2013
In this paper, it is proposed to use Multiquadric basis functions at hidden layer of radial basis functions neural networks (RBFNN) for face recognition. The performance of RBFNN depends on the design of the structure of RBFNN, which includes optimal center selection and spread of RBF units, number of neurons at hidden layer, weights etc.
Vandana Agarwal, Surekha Bhanot
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A note on the Gibbs phenomenon with multiquadric radial basis functions

Applied Numerical Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical dispersion in mildly curved channel using multiquadric radial basis function (MQRBF) method

AIP Conference Proceedings, 2017
Curvature in a channel affects the flow and dispersion in many ways and lateral variation in the stream wise velocity is one of the key factors for dispersion mechanism in channel flows. This paper attempts to study the dispersion of a solute in a mildly curved channel using multiquadric radial basis function. Combined effect of molecular diffusion and
Bhanumati Panda   +3 more
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Matrix Stability of Multiquadric Radial Basis Function Methods for Hyperbolic Equations with Uniform Centers

Journal of Scientific Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xinjuan, Jung, Jae-Hun
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Inverse Multiquadrics with Optimal Shape Parameter for Stress Analysis of Functionally Graded Plates

Advanced Materials Research, 2014
Stress of simply functionally graded plates is predicted by the meshless method based on inverse multiquadrics radial basis function. The genetic algorithm is utilized to optimize the shape parameter of inverse multiquadrics radial basis function. The stress of simply functionally graded plates is calculated using the inverse multiquadrics with optimal
Yu Liang, Song Xiang, Wei Ping Zhao
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The optimisation of induction heating system based on multiquadric function approximation

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2005
Purpose The investigation of the efficiency of optimisation technique based on approximation of objective function by multiquadric (MQ) function, used for induction heating devices was the aim of the paper.
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