The paper deals with three-term recurrence relations for Boubaker and related polynomials, as well as some properties including zero. The Boubaker Polynomials Expansion Scheme for. Solving Applied-physics Nonlinear high-order Differential Equations. 1. Ugur Yücel and. 2. Karem Boubaker. Received August 14, Abstract—Some new properties of the Boubaker polynomials expansion scheme are presented in this paper. It is shown in particular.

Author: Yozshura Kazrashicage
Country: Jamaica
Language: English (Spanish)
Genre: Spiritual
Published (Last): 28 December 2006
Pages: 271
PDF File Size: 1.52 Mb
ePub File Size: 8.75 Mb
ISBN: 376-3-28685-826-1
Downloads: 40873
Price: Free* [*Free Regsitration Required]
Uploader: Jutilar

The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section.

We present here to the worldwide scientific community, the modified Boubaker polynomials that are closer to mathematical analysis as long as they can be easily subjected to arithmetical and integral analysis. Enhancement of pyrolysis spray disposal pplynomials using thermal time response to precursor uniform deposition.

Thanks to relations given by Eq.

Boubaker Polynomials – Wikiversity

The publication information given there is. Subpage for the collection of sources on Boubaker polynomials: The early works on polynomials can be attributed to Al-Khawarizmi with his attempt to solve six canonical equations, followed by Omar Al-Khayyam who tried to solves cubics geometrically by intersecting conics Kiltz and Winterhof, Boubaker polynomials have generated many integer sequences in the w: The paper is also cited in this “in press” publication: This was simply not made clear.


Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems. We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function.

Boubaker polynomials are also defined in general mode through the recurrence relation:. This comment was appended here: The second source first page can be seen at [3]. Implications of this research may be covered in analysis to be added to our subpage: Learn more about original research at Wikiversity. The acceptance date is not given. Math, Vol 3 Issue 2, — [4]this way:. Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq.

After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.

Boubaker Polynomials

This is a direct quote from: Retrieved from ” https: There is, as noted, no bohbaker in the article, and the article is not footnoted.

However, where is the first paper? Now we are working, with many experts from the mathematical scientific community, on other possible and exploitable Bender and Dunne, ; Calvetti and Reichel, arithmetic proprieties of this class.

There are, instead, references:. This is what is shown as to the original:. Karem Boubaker The sentence quoted above is in the cited paper by Boubaker.

There was a problem providing the content you requested

Abstract In this polynmials an attempt presented to establish a characteristic linear differential equation and an explicit form to the modified Boubaker polynomials The original Boubaker polynomials were established earlier as an effective tool for solving heat bi-varied equation in a particular case of one-dimensional heat transfer model.


The graphics of first modified Boubaker polynomials are presented in Fig. Another definition of Boubaker polynomials is:. This page was last edited on 19 Julyat However, the history of Wikipedia treatment of this topic and users involved with this topic may be studied and discussed on our subpage: How to cite this article: Nevertheless they seemed not to be solution to any regular differential equation of the kind:. The most valuable result was an approach to a particular second order differential equation that links the Boubaker Polynomials to Chebyshev first polnyomials polynomials through the relation:.

Modified Boubaker Buobaker are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials. Research projects Wiki Studies.

It shows a received date of March 14,but was not published until June, Classical polynomials have been defined by several methods according to their applications. Trends in Applied Sciences Research Volume 2 6: