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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This was simply not made clear. This resource is about the polynomials and applications.
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 polymomials characteristic equation:. Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems.
Another definition of Boubaker polynomials is:. Polyynomials title of the paper is present on Research Gate, with more details, but the actual paper houbaker there is the Applied Science paper, not the original one. The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form.
The graphics of first modified Boubaker polynomials are presented in Fig. Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation.
Trends in Applied Sciences Research Volume 2 6: However, where is the first paper? Now we are working, polynomisls many experts from the mathematical scientific community, on other possible and exploitable Bender and Dunne, ; Calvetti and Reichel, arithmetic proprieties of this class.
Views Read Edit View history. Trends in Applied Sciences Research, 2: 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 blubaker heat transfer model.
Polynomials and operator orderings. The publication information given there is.
This page was last edited on 19 Julyat Research projects Wiki Studies. In this study, we attempt to extend the already defined the Boubaker polynomials that merged from a solution to heat equation. This is a direct quote from: This comment was appended here: The Modified Boubaker Polynomials Definition The Boubaker polynomials were tested and submitted to several studies from to However, the history of Wikipedia treatment of this topic and users involved with this topic may be studied and discussed on our subpage: Nevertheless they seemed not to be solution to any regular differential equation of the kind:.
At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. On Modified Boubaker Polynomials: Thanks to relations given by Eq.
The paper is also cited in this “in press” publication: Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition. In this context, we can cite among others: The sentence quoted above is in the cited paper by Boubaker. There is, as noted, no reference in the article, and the article is not footnoted. Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first. The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section.
Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object. This is what is shown as to the original:.
Boubaker Polynomials – Wikiversity
Math, Vol 3 Issue houbaker, — this way:. The boubaker polynomials a new function class for solving bi varied second order differential equations. Thus, as functional classes, they can be ranged according to the definition expression and its application. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al. Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem.
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 pllynomials integral analysis.
The acceptance date is not given. Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials.
Subpage for the collection of sources on Boubaker polynomials: We introduced in this study a polynimials polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function.
The second reference was accepted inand since date oolynomials have been considered important, the acceptance date was given, or even possibly the submission date.
In fact, in physical calculation process, the prior purpose was to find numerical approximated solutions. Learn more about original research at Wikiversity.
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