Numerical solution of thin plates problem via differential quadrature method using G-spline

Numerical solution of thin plates problem via differential quadrature method using G-spline

In this article the numerical solution of thin plates problem is introduced by using the differential quadrature method together with Chebyshev Gauss Lobatto sampling points for modeling the vibration of a square thin plate.The explicit formula of the weighting coefficients for approximation of deri...

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Main Authors: Osama H. Mohammed, Mustafa A. Saeed
Format: Article
Language:English
Published: Elsevier 2019-04-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364717312636
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spelling doaj-b1bd821a624347f893961b904de3f8172020-11-24T20:53:07ZengElsevierJournal of King Saud University: Science1018-36472019-04-01312209214Numerical solution of thin plates problem via differential quadrature method using G-splineOsama H. Mohammed0Mustafa A. Saeed1Corresponding author.; Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, IraqDepartment of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad, IraqIn this article the numerical solution of thin plates problem is introduced by using the differential quadrature method together with Chebyshev Gauss Lobatto sampling points for modeling the vibration of a square thin plate.The explicit formula of the weighting coefficients for approximation of derivatives is utilized with the aid of the G-spline interpolation function.A numerical example is presented and the results that have been obtained are compared with the existing methods in order to illustrate the validity and accuracy of the proposed approach. Keywords: Differential quadrature method, Hermite-Birkhoff problem (HB-problem), G-spline interpolation, Chebyshev Gauss Lobatto pointshttp://www.sciencedirect.com/science/article/pii/S1018364717312636
collection DOAJ
language English
format Article
sources DOAJ
author Osama H. Mohammed
Mustafa A. Saeed
spellingShingle Osama H. Mohammed
Mustafa A. Saeed
Numerical solution of thin plates problem via differential quadrature method using G-spline
Journal of King Saud University: Science
author_facet Osama H. Mohammed
Mustafa A. Saeed
author_sort Osama H. Mohammed
title Numerical solution of thin plates problem via differential quadrature method using G-spline
title_short Numerical solution of thin plates problem via differential quadrature method using G-spline
title_full Numerical solution of thin plates problem via differential quadrature method using G-spline
title_fullStr Numerical solution of thin plates problem via differential quadrature method using G-spline
title_full_unstemmed Numerical solution of thin plates problem via differential quadrature method using G-spline
title_sort numerical solution of thin plates problem via differential quadrature method using g-spline
publisher Elsevier
series Journal of King Saud University: Science
issn 1018-3647
publishDate 2019-04-01
description In this article the numerical solution of thin plates problem is introduced by using the differential quadrature method together with Chebyshev Gauss Lobatto sampling points for modeling the vibration of a square thin plate.The explicit formula of the weighting coefficients for approximation of derivatives is utilized with the aid of the G-spline interpolation function.A numerical example is presented and the results that have been obtained are compared with the existing methods in order to illustrate the validity and accuracy of the proposed approach. Keywords: Differential quadrature method, Hermite-Birkhoff problem (HB-problem), G-spline interpolation, Chebyshev Gauss Lobatto points
url http://www.sciencedirect.com/science/article/pii/S1018364717312636
work_keys_str_mv AT osamahmohammed numericalsolutionofthinplatesproblemviadifferentialquadraturemethodusinggspline
AT mustafaasaeed numericalsolutionofthinplatesproblemviadifferentialquadraturemethodusinggspline
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