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.
سياسات الاتحاد الاوروبي والولايات المتحدة الامريكية تجاه ازمة الشرق الاوسط بعد الحادي عشر من ايلول
This study reveals important aspects of Ibn Tulun approach in this book through reading and scrutinizing the texts that had a direct or indirect relationship with this topic, as his study was not an easy thing, especially as it depends on the deduction of intellectual trends in his approach and his dealings with the texts of this topic In his directions and his architectural and service idea and highlighting its basic aspects as part of the plans of the Islamic city and its connection with the cultural heritage at the time.
Solar cells thin films were prepared using polyvinyl alcohol (PVA) as a thin film, with extract of natural pigment from local flower. A concentration of 0.1g/ml of polyvinyl alcohol solution in water was prepared for four samples, with various concentrations of plant pigment (0, 15, 25 and 50) % added to each of the four solutions separately for preparing (PVA with low concentrated dye , PVA with medium concentrated dye and PVA with high concentrated dye ) thin films respectively . Ultraviolet absorption regions were obtained by computerized UV-Visible (CECIL 2700). Optical properties including (absorbance, reflectance, absorption coefficient, energy gap and dielectric constant) via UV- Vis were tested, too. Fourier transform infra
... Show Moreيهدف البحث إلى معرفة ما هيه اخلاقيات مهنة العاملين في المكتبات وتحديث متطلباتهم الضرورية من المهنة لكي يسمو بأخلاقياتها ، وهل هذه الاخلاقيات متوافرة في العاملين في مكتباتنا الجامعية ضمن حدود الدراسة ؟ ومن ادوات جمع البيانات : استمارة بالاخلاقيات وزعت على مجموعة من الاساتذة و استبانة وزعت على من المكتبات الجامعية . وكان مجتمع الدراسة العاملون في المكتبات المركزية الأولى والثانية لجامعة بغداد والمكتبة المرك
... Show MoreThe verbal formula // i3-gal2 //is a commonly form in the written Sumerian economic texts, starting from the early dynastic period (2900-2372 BC), ending with the Ur III dynasty (2112-2004 BC). This formula has appeared either without infixes, or accompanied by infixes like / in-da-gal2/, corresponded in Akkadian the formula: ibaššu ,which is means "to found, to Storage ", As to the formula / da / come to indicate "to found with, to storage with--).
The present study aims to identify the extent to which biology book of sixth grade achieves the basic scientific aspects in light of its scientific objectives. To achieve this goal, the researcher needed to build two questionnaires to evaluate the biology book for sixth-grade. To answer the questions of the study, the researcher used the following statistical methods : the weighted average, and percentages; and to identify the extent to match the perspective of teachers of the material with the perspective of a researcher in each paragraph of the questionnaire as well as the degree of severity of each paragraph in the book neighborhoods sixth-grade has reached Aalbagesh to several of the most important results: 1. All the teachers were w
... Show MoreThe progress that happened in Andalusia civilization was affected by Arabic through taking care of agriculture by entering of new kinds of planets that were more important as political sides which led to prominence new kinds of food transported to Europe that had showed a real reflect of how chat of civilization among people who had lived in various ages until now
تعد ظاهرة الارهاب المتزايدة في العالم من اخطر اشكال التهديدات الامنية التي تواجة الدول لانها تستهدف في جانب مهم منها امن واستقرارومستقبل مجتمعاتها لاسيما اذا جمع الفعل الارهابي بين مطامع واهداف القوى الخارجية التي لا تريد استخدام ادواتها المباشرة وانما بالاعتماد على محركات في خلق الازمات داخل الدول المستهدفة
... Show MoreThe social contract represents a set of laws and determinants agreed upon by a group of individuals in order to organize society for the better.This agreement guarantees them to live in peace according to the pre-agreed laws, and on the basis of that, it represents the key to resolving the crisis relations between the state and society, and this is what prompted Iraqi society to move towards the formulation of a new social contract through popular protest movements in 2019.To overcome the old social contract that shook the trust between the state and society as a result of its negative outputs at various political, economic and social levels, and many problems emerged that hindered the process of building the social contra
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