Document Details

Document Type : Article In Journal 
Document Title :
On the derivatives of Bernstein polynomials: An application for the solution of high even-order differential equations
On the derivatives of Bernstein polynomials: An application for the solution of high even-order differential equations
 
Subject : Mathematics 
Document Language : English 
Abstract : A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a differentiable function in terms of its Bernstein coefficients is deduced. An application of how to use Bernstein polynomials for solving high even-order differential equations by Bernstein Galerkin and Bernstein Petrov-Galerkin methods is described. These two methods are then tested on examples and compared with other methods. It is shown that the presented methods yield better results. 
ISSN : 1687-2762 
Journal Name : Boundary Value Problems 
Volume : 2011 
Issue Number : 1 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Tuesday, June 5, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
علي حسن بحراويBhrawy, Ali HResearcherDoctoratealibhrawy@yahoo.co.uk
Eid H DohaDoha, Eid HResearcherDoctorateeiddoha@frcu.eun.eg
M A SakerSaker, M AResearcherDoctoratem_asaker@yahoo.com

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