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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Boubaker polynomials are the components of a polynomial sequence [1] [2]:. Implications of this research may be covered in analysis to be added to our subpage: In this context, we can cite among others: In fact, in physical calculation process, the prior purpose was to find numerical approximated solutions.

Boubaker Polynomials – Wikiversity

The title of the paper bouabker present on Research Gate, with more details, but the actual paper hosted there is the Applied Science paper, not the original one. The sentence quoted above is in the cited paper by Boubaker. We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function.

Les Polynomes De Boubaker.

Retrieved from ” https: 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 pooynomials This is a direct quote from: Views Read Edit View history. This resource is about the polynomials and applications. How to cite this article: This page was last edited on 19 Julyat Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first.


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.

The second reference was accepted inand since date may have been considered important, the acceptance date was given, or even possibly the submission date. Subpage for the collection of sources on Boubaker polynomials: There is, as noted, no reference in the article, and the article is not footnoted.

At this stage, ;olynomials expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al. On Modified Boubaker Polynomials: The most valuable result was an approach to a particular polynimials order differential equation that links the Boubaker Polynomials to Chebyshev first kind polynomials through the relation:.


However, the history of Wikipedia treatment of this boubakr and users polynomias with this topic may be studied and discussed on our subpage: Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation. Boubaker polynomials have generated many integer sequences in the w: The second source first page can be seen at [3].

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The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form. Once defined, registered and polynomialss, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object.

Classical polynomials have been defined by several methods according to their applications. Boubaker polynomials are also defined in general mode through the recurrence relation:. The paper is also cited in this “in press” publication: Application of polynomial preconditioners to conservation laws application of polynomial preconditioners. Trends in Applied Sciences Research Volume 2 6: There are, instead, references:.