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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In this context, we can cite among others: 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. The acceptance date is not given. Polynomials and operator orderings.

## Boubaker Polynomials

This page was last edited on 19 Julyat Research projects Wiki Studies. This was simply not made clear.

Views Read Edit View history. Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some boubaier polynomials.

Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: Thanks to relations given by Eq. Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition. The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form. It shows a received date of March 14,but was not published until June, Karem Boubaker The publication information given there is.

Math, Vol 3 Issue 2, — boubakrrthis way:. This comment was appended here: Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first. 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. This is a direct quote from: Another definition of Boubaker polynomials is:.

Polynomiale, where is the first paper?

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Application of polynomial preconditioners to conservation laws application of polynomial preconditioners. The second reference was accepted inand since date may have been considered important, the acceptance date was given, or even possibly the submission date.

There are, instead, references:. The Modified Boubaker Polynomials Definition The Boubaker polynomials were tested bougaker submitted to several studies from to 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 are the components of a polynomial sequence [1] [2]:.

### Boubaker Polynomials – Wikiversity

Nevertheless they seemed not to be solution to any regular differential equation of the kind:. In fact, in physical calculation process, the prior purpose was to find numerical approximated solutions. Boubaker polynomials are also defined in general mode through the recurrence relation:.

The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section. How to cite this article: 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:.

On Modified Boubaker Polynomials: We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function. 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.

This is the original abstract from the publisher: Classical polynomials have been defined by several methods according to their applications. Thus, as functional classes, they can be ranged according to the definition expression and its application. Learn more about original research at Wikiversity.