Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 41, Issue 6, Pages 709-716Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207720903154783
Keywords
Bernstein polynomial; operational matrix; differential equation
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The Bernstein polynomials (B-polynomials) operational matrices of integration P, differentiation D and product C 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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