Operational matrices of Bernstein polynomials and their applications

The Bernstein polynomials (B-polynomials) operational matrices of integration P, differentiation D and product Ĉ are derived. A general procedure of forming these matrices are given. These matrices can be used to solve problems such as calculus of variations, differential equations, optimal control...

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Bibliographic Details
Published inAnalytical letters Vol. 41; no. 6; pp. 709 - 716
Main Authors Yousefi, S.A., Behroozifar, M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.06.2010
Taylor & Francis
Subjects
Applied sciences
Bernstein polynomial
Calculus of variations
Computer science; control theory; systems
Control theory. Systems
differential equation
Differential equations
Differentiation
Exact sciences and technology
Forming
Integral equations
Mathematical analysis
Matrices
Matrix methods
operational matrix
Optimal control
Polynomial matrix
Differential equation
Optimal control
Integral control
Variational calculus
Forming
operational matrix
Bernstein polynomial
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Summary:The Bernstein polynomials (B-polynomials) operational matrices of integration P, differentiation D and product Ĉ are derived. A general procedure of forming these matrices are given. These matrices can be used to solve problems such as calculus of variations, differential equations, optimal control and integral equations. Illustrative examples are included to demonstrate the validity and applicability of the operational matrices.
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ISSN:0020-7721
0003-2719
1464-5319
DOI:10.1080/00207720903154783