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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 Type
Dr Grade
Email
علي حسن بحراوي
Bhrawy, Ali H
Researcher
Doctorate
alibhrawy@yahoo.co.uk
Eid H Doha
Doha, Eid H
Researcher
Doctorate
eiddoha@frcu.eun.eg
M A Saker
Saker, M A
Researcher
Doctorate
m_asaker@yahoo.com
Files
File Name
Type
Description
33505.pdf
pdf
Abstract
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