In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods is produced. Finally, for more explanation, an algorithm is proposed and applied for testing examples to illustrate the effectiveness of the new technique.
Abstract
This research aims to examine the correlation and the influence of Authentic Leadership on the contextual performance as a dependent variable, in the departments and Division of the iraqi Ministry of Foreign Affairs To try out with a number of recommendations that contribute to raising the level of contextual performance in the Ministry. Starting from the importance of research in public organizations and its Role in society, the researcher adopted the descriptive analytical approach in accomplishing this research, The 99 people responded exclusively comprehensively, based on questionnaire that is include 28-item, using interviews and field observations as
... Show MoreThe aim of the research is to determine the extent to which young people watch television sports programs and the impact of viewing on the level of sports culture among young people and the impact of demographic variables on youth over the viewing of sports programs, The study was conducted on a sample of (200) male and female students from the faculties of the University of Baghdad, where a questionnaire form composed of several axes and questions was prepared to measure the effectiveness of sports programs in youth culture, The statistical program used spss to empty data and extract results by frequency, percentages, correlations, The research reached several results, the most important of which is that there is a strong influence of s
... Show MoreThis current research aims to reveal the difference between the levels of teaching expertise of physics teachers according to the years of service by answering the following question: does the educational skill level of physics teachers work according to the service? The sample of the study consisted of (225) physics teachers by (125) females (56%), and (100) males (44%), distributed on (4) education directorates in Baghdad governorate on both sides of al-Karkh and al-Rusafa. In order to achieve the aim of the study, the researcher prepared a note card for expertise teaching, consisting of (39) paragraphs distributed into (5) fields. The apparent validity and reliability of the card were verified through an agreement (the researcher hers
... Show MoreThe present study is an attempt to show how the three Umayyad poets ; Jarir , Al-
Farazdaq and Al-Akhtal have consciously and skillfully employed in their poetry som ancient
Arab legends ,historical events and wars as they provide atrue image of the values and
customs of the peoples who lived before them .
Their employed , how ever, takes avarying degrees depending, to alarge extent , an the
vast but personal knowledge of each poet the past tradition , and practices . Jarir ,in many
respects out , stands the first , Al-Farazdaq , the second and Al-Akhtal , the third .
An essential tool for studying the web is its ability to show how energy moves through an ecosystem. Understanding and elucidating the relationship between species variety and their placement within the inclusive trophic dynamics is also beneficial. A food web ecological model with prey and two rival predators under fear and wind flow conditions is developed in this article. The boundedness and positivity of the system’s solution are established mathematically. The stability and existence constraints of the system’s equilibria are examined. The proposed system’s persistence limitations are established. Additionally, the bifurcation analysis of every potential equilibrium is examined using the Sotomayor theorem. To describe the
... Show MoreColorectal cancer (CRC) remains a leading cause of cancer-related deaths worldwide, with tumor angiogenesis playing a pivotal role in its progression and metastasis. CD144 (VE-cadherin), a calcium-dependent adhesion molecule, is critical for endothelial cell integrity and has been linked to tumor angiogenesis and cancer stem cell phenotypes. This study aimed to evaluate the immunohistochemical expression of CD144 in benign colorectal lesions, normal adjacent tumor tissue (NRAT), and tumor tissues to elucidate its role in colorectal cancer progression. Multiple techniques, including immunohistochemistry, flow cytometry, Western blot, and qPCR, were used to assess CD144 expression and its association with the VEGF/VEGFR2 signaling pat
... Show MoreIn this paper, the density of state (DOS) at Fe metal contact to Titanium dioxide semiconductor (TiO2) has been studied and investigated using quantum consideration approaches. The study and calculations of (DOS) depended on the orientation and driving energies. was a function of TiO2 and Fe materials' refractive index and dielectric constant. Attention has focused on the effect of on the characteristic of (DOS), which increased with the increasing of refractive index and dielectric constant of Fe metal and vice versa. The results of (DOS) and its relation with and values of system have been discussed. As for contact system is increased, (DOS) values increased at first, but the relation is disturbed later and transforms into an inve
... Show More