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 fact, in physical calculation process, the prior purpose was to find numerical approximated solutions. Since the quoted text refers to Boubaker et al, it is referring to the second reference, not the first. This is the original abstract from the publisher: This resource is about the polynomials and applications.
Boubaker polynomials have generated many integer sequences in the w: However, the history of Wikipedia treatment of this topic and users involved with this topic may be studied and discussed on our subpage: Several times, last time inWikipedia chose not to host an article on the subject of Boubakr polynomials, see w: However, where is the first paper?
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The boubaker polynomials a new function class for solving bi varied second order differential equations. Classical polynomials have been defined by several methods according to their applications.
Karem Boubaker After several tests and trials, we set the new proposed polynomials, which are the modified Boubaker polynomials defined mainly by Eq. It shows a received date of March 14,but was not published until June, The title of 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.
Boubaker Polynomials – Wikiversity
The second reference was accepted inand polynomialls date may have been considered important, the acceptance date was given, or even pklynomials the submission date. 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.
Research projects Wiki Studies. On Modified Boubaker Polynomials: This is what is shown as to the original:. Once defined, registered and published, the Boubaker polynomials, as practical functional classes, were not considered and dealt with as an abstract mathematical object. The publication information given there is. 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.
Boubaker polynomials are also defined in general mode through the recurrence relation:. The graphics of first modified Boubaker polynomials are presented in Fig.
At this stage, several expert colleagues advised us to propose a new form of the Boubaker polynomials, which fits better Eq. Enhancement of pyrolysis spray disposal performance using thermal time response to precursor uniform deposition. 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.
Implications of this research may be covered in analysis to be added to our subpage: Views Read Edit View history.