For many problems in Physics and Computational Fluid Dynamics (CFD), providing an accurate approximation of derivatives is a challenging task. This paper presents a class of high order numerical schemes for approximating the first derivative. These approximations are derived based on solving a special system of equations with some unknown coefficients. The construction method provides numerous types of schemes with different orders of accuracy. The accuracy of each scheme is analyzed by using Fourier analysis, which illustrates the dispersion and dissipation of the scheme. The polynomial technique is used to verify the order of accuracy of the proposed schemes by obtaining the error terms. Dispersion and dissipation errors are calculated and compared to show the features of high order schemes. Furthermore, there is a plan to study the stability and accuracy properties of the present schemes and apply them to standard systems of time dependent partial differential equations in CFD.
Abstract: The researcher aims to highlight the historical frames of political development in royal regime era (1921-1949) and study its transitions on social-political aspect for the various periods during this consistent era of Iraq history. As some elements played an important role in shaping this era’s features ,as well as 2hat succeed it, which mainly affected the political progression’s configuration, such as : political culture role, social and cultural foundation, state policy essence and the unofficial institutions remarkable role in influencing public awareness and concerning it's relation to the state ,the clan and religious institutions. The researcher employed Alexis de Tocqueville’s evaluation criteria and indi
... Show MoreThe liver of marsh harrier grossly appeared as large, bi-lobed organ divided into left and right lobes, which are approximately equal in size and not divided into secondary lobes. Histologically, the liver of marsh harrier was found to contain numerous lobules which are not well defined by the connective tissue of the septa except that surrounded the portal triads. The parenchyma of liver composed of irregular branching cords of hepatocytes organized in double rows alternating with tortures path sinusoids which are lined with flattened endothelial cells and large, irregular outlined kupffer cells. Hepatic cords arranged in a radial pattern around the central vein of the liver lobule while in a subscapsular region they run parallel to the ca
... Show MoreThe theatrical show depends in its formation on the technical system and the elements that it has for the theatrical show, and among these techniques is the lighting, where every director looked for a style and method of implementing them and giving aesthetic functions and characteristics that give the theatrical show an aesthetic and interpretive dimension, and that is through multiple expressions and connotations of the lighting in giving the show a functional and aesthetic character. Therefore, light has been shed on the lighting and its action in the theatrical show, due to its significant role in the modern theatrical shows. The current research, thus, has been divided into four chapt
... Show MoreThe research is based on an important subject according to the researchers' estimations. It is the disclosure of the nature of the relationship between Watching to cultural programs in satellite channels and the book's vision of the intellectual, and the pursuit of purchasing and acquiring it It is a scientific addition to the scientific research media because it deals in the field of new about the nature of the relationship between satellite programs and writers, and it provides a scientific development on the importance of satellite channels in the promotion of the book and sales of intellectual elite. The study examined the audience of the recipients of literature for cultural programs, the nature of the public, characteristic
... Show Morethe Research problem entitled: (compound shapes in the work of the artist Max Ernst and Ali Najjar) the nature of the concept of compound shapes and mechanisms of functioning in contemporary art done. The research consisted of(4) four parts: the first part is dealing with the methodological framework of the Search represented the research problem , which is manifested through this study to reveal the technical features of the composite shapes, that linked achievement both artists (Max Ernst) and (Ali Al Najjar). Which is crystallized into two objectives as follows: 1 - Detection of the technical features of the composite shapes in the work of Max Ernst and Ali Al-Najjar.2 - Detection of similarities and differences in the recruitment of
... Show MoreThis study aims to apply the theory of "Text from Text and the Plus Dimension" in the analysis of the Prophetic discourse found in the section on the virtues of knowledge and scholars from Imam Sahih al-Bukhari's book. This section covers several topics, including the virtue of gathering for the sake of learning, the superiority of a scholar over a worshipper, the excellence of jurisprudence in the religion of Allah, the acquisition of knowledge through the passing away of scholars, the merit of inviting people to Allah, the continuing benefit of beneficial knowledge after a scholar's demise, the warning against seeking knowledge for purposes other than Allah, and the Prophet seeking refuge from knowledge tha
... Show MoreThe electronic properties (such as energy gap HOMO levels. LUMO levels, density of state and density of bonds in addition to spectroscopic properties like IR spectra, Raman spectra, force constant and reduced masses as a function of frequency) of coronene C24 and reduced graphene oxide C24OX , where x=1-5, were studied.. The methodology employed was Density Functional Theory (DFT) with Hybrid function B3LYP and 6-311G** basis sets. The energy gap was calculated for C24 to be 3.5 eV and for C24Ox was from 0.89 to 1.6862 eV for x=1-5 ,respectively. These energy gaps values are comparable to the measured gap of Graphene (1-2.2 eV). The spectroscopic properties were compared with experimental measurements, specificall
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