New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials

New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials

Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)^B respectively is presented. Also the result...

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Main Author: Baghdad Science Journal
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2015-12-01
Series:Baghdad Science Journal
Subjects:
The Bernstein Basis and Bezier Curves, Gram-Schmidt Orthonormalization Process, Numerical Solution of Optimal Control of Time-varying Singular via Operational Matrices
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2133
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spelling doaj-e0d9433123a243ee8c1ae998a1124b772020-11-25T01:31:54ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862015-12-0112410.21123/bsj.12.4.846-853New Operational Matrices of Seventh Degree Orthonormal Bernstein PolynomialsBaghdad Science JournalBased on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)^B respectively is presented. Also the result of the proposed method is compared with true answers to show the convergence and advantages of the new method.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2133The Bernstein Basis and Bezier Curves, Gram-Schmidt Orthonormalization Process, Numerical Solution of Optimal Control of Time-varying Singular via Operational Matrices
collection DOAJ
language Arabic
format Article
sources DOAJ
author Baghdad Science Journal
spellingShingle Baghdad Science Journal
New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
Baghdad Science Journal
The Bernstein Basis and Bezier Curves, Gram-Schmidt Orthonormalization Process, Numerical Solution of Optimal Control of Time-varying Singular via Operational Matrices
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
title New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
title_short New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
title_full New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
title_fullStr New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
title_full_unstemmed New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
title_sort new operational matrices of seventh degree orthonormal bernstein polynomials
publisher College of Science for Women, University of Baghdad
series Baghdad Science Journal
issn 2078-8665
2411-7986
publishDate 2015-12-01
description Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)^B respectively is presented. Also the result of the proposed method is compared with true answers to show the convergence and advantages of the new method.
topic The Bernstein Basis and Bezier Curves, Gram-Schmidt Orthonormalization Process, Numerical Solution of Optimal Control of Time-varying Singular via Operational Matrices
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2133
work_keys_str_mv AT baghdadsciencejournal newoperationalmatricesofseventhdegreeorthonormalbernsteinpolynomials
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