This paper is concerned with introducing an explicit expression for orthogonal Boubaker polynomial functions with some important properties. Taking advantage of the interesting properties of Boubaker polynomials, the definition of Boubaker wavelets on interval [0,1) is achieved. These basic functions are orthonormal and have compact support. Wavelets have many advantages and applications in the theoretical and applied fields, and they are applied with the orthogonal polynomials to propose a new method for treating several problems in sciences, and engineering that is wavelet method, which is computationally more attractive in the various fields. A novel property of Boubaker wavelet function derivative in terms of Boubaker wavelet themselves is also obtained. This Boubaker wavelet is utilized along with a collocation method to obtain an approximate numerical solution of singular linear type of Lane-Emden equations. Lane-Emden equations describe several important phenomena in mathematical science and astrophysics such as thermal explosions and stellar structure. It is one of the cases of singular initial value problem in the form of second order nonlinear ordinary differential equation. The suggested method converts Lane-Emden equation into a system of linear differential equations, which can be performed easily on computer. Consequently, the numerical solution concurs with the exact solution even with a small number of Boubaker wavelets used in estimation. An estimation of error bound for the present method is also proved in this work. Three examples of Lane-Emden type equations are included to demonstrate the applicability of the proposed method. The exact known solutions against the obtained approximate results are illustrated in figures for comparison
Some responses to ancient grammarians
And contemporary researchers
In monograms
Abstract :This research aims to examine the correlation and the impact of Strategic leadership on Achieving Organizational in some of establishments in ministry of construction and housing which is under public founds, Starting from the importance of research in public organizations and the importance of these organizations to the community, it is rely descriptive analytical methods in achievement of this research, the research involved board of directors, Data has collected from (92) respondents, represent the respondent society exclusively and comprehensively, it involved the general directors, assistant general directors and heads of department, The research relied programs (Excel 2010, Spss V.21), moreover, some o
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The theatrical performance has an aesthetic, artistic, technical and intellectual vision presented by the theatrical director according to the dualities of theatrical form and content, which depend on the uniformity and interconnection of theatrical elements, as the vision is integrated through the harmony and fusion of these elements and the flow of their coordination with an aesthetic system within the framework of the aesthetic space of the theatrical performance, and when the heritage is presented in the performance, as there will certainly be different readings of that heritage and moving away from the iconization of the event and highlighting it in a manner that is in line with the spirit of the age.
the (researcher) tries, t
The effected of the long transmission line (TL) between the actuator and the hydraulic control valve sometimes essentials. The study is concerned with modeling the TL which carries the oil from the electro-hydraulic servovalve to the actuator. The pressure value inside the TL has been controlled by the electro-hydraulic servovalve as a voltage supplied to the servovalve amplifier. The flow rate through the TL has been simulated by using the lumped π element electrical analogy method for laminar flow. The control voltage supplied to servovalve can be achieved by the direct using of the voltage function generator or indirect C++ program connected to the DAP-view program built in the DAP-card data acqu
... Show MoreThis article will address autoclave design considerations and
manufacturing working with high pressure low temperature
supercritical drying technique to produce silica aerogel. The design
elects carbon dioxide as a supercritical fluid (31.7 oC and 72.3 bar).
Both temperature and pressure have independently controlling
facility through present design. The autoclave was light weight (4.5
kg) and factory-made from stainless steel. It contains a high pressure
window for monitoring both transfer carbon dioxide gas to liquid
carbon dioxide and watching supercritical drying via aerogel
preparation process. In this work aerogel samples were prepared and
the true apparent densities, total pore volume and pore size
The current research aims through its chapters to verify the relationship and impact of strategic leadership as an independent variable in the marketing performance as a respondent variable, in a leap cement plant, and try to come up with a set of recommendations that contribute to enhancing the practice and adoption of the two variables in the organization under discussion. And based on the importance of the research topic to the community, and to the researched organization and its members, the analytical and analytical approach was adopted in the completion of this research, and the research community included a leap cement plant in Anbar Governorate, while the research sample was represented by (department heads, and people o
... Show Moreان الرأسمالية ليست بناءً هندسياً يتم انتظامه وفقاً للنظريات الهندسية والمعادلات الرياضية والفنون المعمارية، لأنها ببساطة نظاماً اجتماعياً يقوم على تشكيلة اقتصادية معينة، والأخيرة تقوم على مستوى معين لتطور قوى الانتاج (التكنولوجيا) والذي يقوم عليه مستوىً معين لعلاقات الإنتاج، ويقوم على التشكيلة الاقتصادية/ نمط الإنتاج نظاماً سياسياً، هو جزء من البناء الفوقي، ولأنها نظاماً اجتماعياً بالمواصفات انفة
... Show MoreThe topic of research (women and ideology in the feature film) is a series of researches addressed by the researcher on the subject of women in the feature film through studying the ideology as a thought and political system not only limited to the world of men, but women had a significant contribution in this area. The research identified the problem and its need as well as the objectives of the research and clarified its limits and importance. The research also identified the theoretical framework, which included the following axes: personality and ideology, film and ideology, then women and ideology in the film.
After the completion of the theoretical framework, the research concluded a set of indicators of the theoretic
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