Open AccessNew Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
Author(s) -
Baghdad Science Journal
Publication year - 2015
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.12.4.846-853
Subject(s) - bernstein polynomial , orthonormal basis , mathematics , degree (music) , interval (graph theory) , convergence (economics) , combinatorics , orthogonal polynomials , pure mathematics , discrete mathematics , algebra over a field , physics , quantum mechanics , acoustics , economics , economic growth
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.