In this work, an analytical approximation solution is presented, as well as a comparison of the Variational Iteration Adomian Decomposition Method (VIADM) and the Modified Sumudu Transform Adomian Decomposition Method (M STADM), both of which are capable of solving nonlinear partial differential equations (NPDEs) such as nonhomogeneous Kertewege-de Vries (kdv) problems and the nonlinear Klein-Gordon. The results demonstrate the solution’s dependability and excellent accuracy.

Most of the water pollutants with dyes are leftovers from industries, including textiles, wool and others. There are many ways to remove dyes such as sorption, oxidation, coagulation, filtration, and biodegradation, Chlorination, ozonation, chemical precipitation, adsorption, electrochemical processes, membrane approaches, and biological treatment are among the most widely used technologies for removing colors from wastewater. Dyes are divided into two types: natural dyes and synthetic dyes.

     The method of operational matrices is based on the Bernoulli and Shifted Legendre polynomials which is used to solve the Falkner-Skan equation. The nonlinear differential equation converting to a system of nonlinear equations is solved using Mathematica®12, and the approximate solutions are obtained. The efficiency of these methods was studied by calculating the maximum error remainder ( ), and it was found that their efficiency increases as  increases. Moreover, the obtained approximate solutions are compared with the numerical solution obtained by the fourth-order Runge-Kutta method (RK4), which gives  a good agreement.

Abstract

The study aims to identify the degree of citizenship values practiced by Bisha University students and identify the impact of gender, college, and academic level, on the degree of the practice of University students for citizenship values. The researcher used the descriptive-analytical method including a questionnaire of (44) items. To process the data, the researcher applied the computational averages, standard deviations, percentages, and T-test. The questionnaire was implemented on a sample of (600) of the 2 and 8 levels during the second semester of the academic year (2020-2019) at Bisha University. The study findings revealed that the degree of the pra

his research aims to identify fear of missing out on opportunities among university students in terms of gender and specialization (scientific and humanities). To achieve this objective, the researchers adopted the fear of missing out on opportunities scale developed by Subhi Hamid and Issa Al-Daghistani(2023). The scale, in its final form, consisted of 10 items. The researchers confirmed the psychometric properties of the scale. Then, it was administered to 140 male and female students selected using stratified random sampling from four colleges at the University of Baghdad (College of Arts, College of Education, College of Engineering, and College of Science) during the 2024-2025 academic year

The Arab Islamic Manuscripts in the science libraries humanly global heritage in different types of knowledge and science, as they were not confined to a particular flag but extended to include all kinds of science, and to facilitate the knowledge of these types of manuscripts has been necessary to operate them indexed in most libraries , because it is important in determining the size of those manuscripts and set them up and facilitate the work of the investigators, as well as the significance of indexing to know printed manuscripts in order to avoid repetition of the publication of the manuscript more than once, especially if the deployment is to be characterized by accurate scientific integrity and following the origins of the scienti

In this study, the stress-strength model R = P(Y < X < Z)  is discussed as an important parts of reliability system by assuming that the random variables follow Invers Rayleigh Distribution. Some traditional estimation methods are used    to estimate the parameters  namely; Maximum Likelihood, Moment method, and Uniformly Minimum Variance Unbiased estimator and Shrinkage estimator using three types of shrinkage weight factors. As well as, Monte Carlo simulation are used to compare the estimation methods based on mean squared error criteria.  

هدف البحث الى التعرف على الاتجاه التكاملي STEM في تعليم الرياضيات واثره في التفكير المنطقي لطالبات المرحلة المتوسطة ولتحقيق اهداف البحث تم استخدام منهج البحث الوصفي والتجريبي لدراسة الظاهرة, قامت الباحثة بأخذ رأي عدد من مدرسي المرحلة المتوسطة لادخال الاتجاه STEM في تعليم الرياضيات, واثره في التفكير المنطقي وكان عددهم (20) مدرسا فكانت النتائج هو اثر الاتجاه التكاملي بشكل مرتفع قي التفكير المنطقي, وتم استخدام عدد

 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 .

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This research deals with the nature of the Turkish attitude towards the events of the Arab Spring which the Arab region witnessed recently, as this attitude is characterized by hesitation and utter confusion about those events at its beginning. However, the development of events and the consequent repercussions led the Turkish decision makers of the foreign policy to reconsider their attitude towards those events for political, economic, cultural and social motives.