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, 2017
In this study, the thermal performance analysis of porous fin with temperature-dependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method.
G. Oguntala, R. Abd-Alhameed
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In this study, the thermal performance analysis of porous fin with temperature-dependent thermal conductivity and internal heat generation is carried out using Haar wavelet collocation method.
G. Oguntala, R. Abd-Alhameed
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Random Collocation Method (RCM)
Volume 7: CFD and VIV; Offshore Geotechnics, 2010Recently, young people do not show much interest on theory, and a lack of communication is occurring between the older and younger generations. This tells us that a much simpler numerical procedure directly related to the governing equations is strongly required and the effort answering the requirement should be continued.
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The basis-spline collocation method
AIP Conference Proceedings, 1995We outline the main features of the basis‐spline collocation method used for the lattice discretization of boundary‐value differential systems. We demonstrate the implementation of a general set of boundary conditions. The spectral properties of derivative operators are also discussed.
Ahmad Umar, Jack C. Wells, M. R. Strayer
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The Laguerre Collocation Method
2014The chapter introduces first the functional framework corresponding to the spectral collocation method based on Laguerre functions. The main advantage of these functions is the fact that they decrease smoothly to zero at infinity along with their derivatives. We speculate this behavior in imposing boundary conditions at large distances.
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The Chebyshev Collocation Method
2014The chapter is devoted to the efficient implementation of Chebyshev collocation method. First, the performances of the method in solving fourth order GEPs are compared with those of ChT and ChG counterparts. Then, ChC method is used to solve some genuinely high order, i.e., larger than two, and/or singularly perturbed eigenvalue problems.
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A collocation method for numerical solutions of fractional-order logistic population model
, 2016In this study, a collocation technique is presented for approximate solution of the fractional-order logistic population model. Actually, we develop the Bessel collocation method by using the fractional derivative in the Caputo sense to obtain the ...
Ş. Yüzbaşı
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2018
Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
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Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
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Collocation and Least Squares Methods
2011Various methods to adjust given or chosen mathematical models to actual requirements or actual data are presented. Such adjustment, if it exists, means choice of proper values of some parameters, which usually leads to solution of a set of linear or nonlinear equations. When such adjustment is not possible then least squares method gives an alternative.
Jiří Gregor, Jaroslav Tišer
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