In this paper, the homotopy perturbation method (HPM) is presented for treating a linear system of second-kind mixed Volterra-Fredholm integral equations. The method is based on constructing the series whose summation is the solution of the considered system. Convergence of constructed series is discussed and its proof is given; also, the error estimation is obtained. Algorithm is suggested and applied on several examples and the results are computed by using MATLAB (R2015a). To show the accuracy of the results and the effectiveness of the method, the approximate solutions of some examples are compared with the exact solution by computing the absolute errors.
The rapid development of information technology and its use in all areas has had a positive impact on all areas, and financial markets have had a share of this development through the use of an electronic trading system to settle transactions, enhance transparency and disclosure in all activities of these markets and revitalize their performance.
The reason for choosing this topic is that it is a very important topic for what modern technology addresses in trading operations in financial markets. It is worth noting that these innovations have eliminated the need for direct contact with people, but through the Internet and telephone networks, and the new technology has reduced the costs of building systems
... Show MoreObjectives: To identify the impact of the brain consensus model on the acquisition of Arabic grammar concepts among students in the fourth grade, methodology: The pilot curriculum was used, and a partial control pilot design was adopted. There were 30 female students in the pilot group, 30 female students in the control group, and the two researchers were statistically rewarded among the two groups' students in some variables and used appropriate statistical means to analyse the results, including the test for two independent samples, the square (c2) and the Alpha Kronbach equation.Results: The pilot group outperformed the control group. The results showed that there is a significant statistical difference at the indicative level (0.05) for
... Show MoreThe Anticyclone Merge affects Iraq’s climate clearly through its impact on the different climatic elements. where it appears while they pass through special and distinctive weather . and most of this affection appears in temperatures, Therefore, this research study the relationship between the repetition and the survival period of the Anticyclone Merge and temperature average by using coefficient correlation (Pearson) that shows there’s strong inverse relationship between the integration of Anticyclones and temperatures average. &nbs
... Show MoreThis research aims to identify the role and impact of illustrations in contemporary fashion design inspired by historical costumes. Historical fashion aesthetics are adapted to design drawings. The experimental method was followed and a sample of 31 students in the department of fashion and textile design, third level were selected. Each student carried out two original historical and contemporary design. The models were executed two times: one with the usage of the program and the other without program help. The tools that were used are the program, the scale, the pre-skill test, and the post-skill test. One of the most relevant results of the research is the possibility of using historical costumes to highlight creativity and innovatio
... Show Moreالمواقف افي الدول العربية قراءة تحليلية في مواقف لدولية من التغيير (الولايات المتحدة - الاتحاد الاوروبي - روسيا)
The book "News of Time in the History of Bani Abbas" for Khazraji of important historical books, because of the news of the sons of Abbas, which is part of the book (Alosdp Almstok in the history of Islam, the layers of kings, ranked on the years starting from the emergence of Islam
ان الهدف من هذا البحث هو التعرف على أثر انموذج التفكير النشط في تحصيل طلاب الصف الثاني المتوسط لمادة العلوم و تفـكيرهم البصري. تكونت عينة البحث من (58) طالباً، يتوزعون بين مجموعتين احدهما تجريبية و اخرى ضابطة. تم اعداد اداتين مقننتين احداهما لقياس التحصيل والاخرى لقياس التفــكير البصري، وبعد تطبيق تجربة البحث والحصول على البيانات، التي تمت معالجتها احصائيا باستخدام البرنامج الاحصائي(SPSS)؛ كشفت النتائج عن تفوق
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هدفت هذه الدراسة الى التعرف على مدى فاعلية المعلمين في تطبيق نموذج بنائي في تدريس مادة العلوم للصف الثاني الأساسي . وقد استخدمت استراتيجيات نوعية في جمع البيانات وتحليلها . وأوضحت نتائج الدراسة ان المعلمين تقربوا أكثر إلى السلوك البنائي , وابدوا رغبة في استخدام استراتيجيات بنائية في تدريسهم للعلوم . واختتمت الدراسة بمجموعة من التوصيات .
 
... Show MoreThis study aims to find the effectiveness of GeoGebra software in the achievement and habits of mind of eighth grade female students.
The research sample consisted of (62) students and divided into two groups. The first one is the experimental group (35 students) and it was taught using GeoGebra software, and the second group is the standard group (27 students) and it was taught using the traditional method of teaching. Two multiple-choice-question tests were prepared, one of them tests the achievement (40 paragraphs) and the other tests the habits of mind (24 paragraphs) and comprises four habits of mind according to Costa and Kallick classificatio
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