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.

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The most valuable result was an approach to a particular second order differential equation that links the Boubaker Polynomials to Chebyshev first kind polynomials through the relation:. The Modified Boubaker Polynomials Properties The Modified Boubaker Polynomials Characteristic Differential Equation Oppositely to the early defined Boubaker polynomials, the modified Boubaker polynomials are solution to a second order characteristic equation:.

Abstract In this study 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.

In this context, we can cite among others: 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, Thus, as functional classes, they can be ranged according to the definition expression and its application. Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems.

Boubaker Polynomials – Wikiversity

It shows a received date of March bouhaker,but was not published until June, Research projects Wiki Studies. Trends in Applied Sciences Research Volume 2 6: The sentence quoted above is in the boubakwr paper by Boubaker. Math, Vol 3 Issue 2, — [4]this way:. Since the quoted text refers to Boubaker et al, it is referring to the boubaekr reference, not the first. Application of polynomial preconditioners to conservation laws application of polynomial preconditioners.

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There is, as noted, no reference in the article, and the article is not footnoted. The paper is also cited in this “in press” polynomiasl 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 polynomiala spray disposal performance using thermal time response to precursor uniform deposition.

The publication information given there is. The graphics of first modified Boubaker polynomials are presented in Fig. On Modified Boubaker Polynomials: Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.

Classical polynomials have been defined by several methods according to their applications. In this study, we attempt to extend the already defined the Boubaker polynomials that merged from a solution to heat equation. After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq.

We introduced in this study a new polynomials class, the modified Boubaker polynomlals, derived from an already established polynomial function. Boubaker polynomials are the components of a polynomial sequence [1] [2]:.

Les Polynomes De Boubaker. Now we are working, with many experts from the mathematical scientific community, on other possible and exploitable Bender and Dunne, ; Calvetti plynomials Reichel, arithmetic proprieties of this class. There are, instead, references:.

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However, the history of Wikipedia treatment of this topic and users involved with this topic may be studied and discussed on our subpage: This is a direct quote from: The second source first page can be seen at [3].

Implications of this polynokials may be covered in analysis to be added to our subpage: The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section.

This is the original abstract from the publisher: The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form.

This is what is shown as to the original:.

Boubaker Polynomials

The title boubker the paper is present on Research Gate, with more details, but the actual paper hosted there is the Applied Science paper, not the original one. Another definition of Boubaker polynomials is:. Retrieved from ” https: This comment was appended here: At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq.

Nevertheless they seemed not to be solution to any regular differential equation of the kind:. The acceptance date is not given.

Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al. Several times, last time inWikipedia chose not to goubaker an article on the subject of Boubakr polynomials, see w: