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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Modified Boubaker Polynomials are introduced in order to allow prospecting useful arithmetical and algebraic properties with regard to some classical polynomials. Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an bohbaker mathematical object.
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Subpage for the collection of sources on Boubaker polynomials: Boubaker polynomials have generated many voubaker sequences in the w: Polynomialx comment was appended here: Implications of this research may be covered in analysis to be added to our subpage: Retrieved from ” https: How to cite this article: Classical polynomials have been defined by several methods according to their applications.
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Learn more about original research at Wikiversity. Trends in Applied Sciences Research, 2: 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.
There are, instead, references:. The sentence quoted above is in the cited paper by Boubaker. Since the polybomials text refers to Boubaker et al, it is referring to the second reference, polynlmials the first.
Karem Boubaker The second reference was accepted inand since date may have been considered important, the acceptance date was given, or even possibly the submission date. The publication information given there is. Application of a block modified chebyshev algorithm to the iterative solution of symmetric linear systems. This page was last edited on 19 Julyat We introduced in this study a new polynomials class, the modified Boubaker polynomials, derived from an already established polynomial function.
Boubaker Polynomials – Wikiversity
The second source first page can be seen at . Polynomials and operator orderings. Definition and Historic The Boubaker polynomials were established for the first by Boubaker et al.
The importance of this heat equation in applied mathematics is uncontroversial, as is illustrated in the next section.
In fact, in physical polynomiials process, the prior purpose was to find numerical approximated solutions.
Polynomial interpolation of cryptographic functions related to diffie hellman and discrete logarithm problem. This is a direct quote from: The most valuable result was boubsker approach to a particular second order differential equation that links the Boubaker Polynomials to Chebyshev first kind polynomials through the relation:. Another definition of Boubaker polynomials is:. This was simply not made clear.
Views Read Edit View history. Students who pay close attention to detail often find errors in peer-reviewed publications, but such errors may also exist in interpretation.
Math, Vol 3 Issue 2, — this way:. At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. The graphics of first modified Boubaker polynomials are presented in Fig. 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.
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. The main advantage of this class is to have a characteristic linear differential equation and a developable explicit form. Boubaker polynomials are also defined in general mode through the recurrence relation:.