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.

Abstract

The aim of the current research is to prepare an integrated learning program based on mathematics standards for the next generation of the NYS and to investigate its impact on the development of the teaching performance of middle school mathematics teachers and the future thinking skills of their students. To achieve the objectives of the research, the researcher prepared a list of mathematics standards for the next generation, which were derived from a list of standards. He also prepared a list of the teaching competencies required for middle school mathematics teachers in light of the list of standards, as well as clarified the foundations of the training program and its objectives and the mathematical

The aim of the research is to identify the methods of achieving mental health from an Islamic perspective by using an analytical approach. The methods that were explained: strengthen the spiritual side to control the motives and emotion s overcome the whims of the soul, fear of God and treat mental illness from an Islamic point of view by recognizing self, assurance, foresight, learning and acquiring new trends. Conclusion: we can achieve mental health by optimism, not despair, the compatibility of the Muslim with himself and with others, Consistency, emotional balance, and patience in difficult situations. Islam has attributes that make an individual feels    psychological security. Thus, all these elements achiev

The culture of the daily necessities of life of the individual in any society, whether advanced or simple, and the concept of multiple aspects of culture, including what is culture and education there holds that art is culture, and there are those who are classified according to human societies .. Some also go to it is not related to the study and learning .. And has been Iraq as a symbol of Arab culture, but they declined because of what passed by political crises and social in its modern history, and aims Current search to study culture psychological, political and social among the students of the university after the U.S. occupation of Iraq, the researcher prepared a questionnaire and after hold the appropriate statistical met

         أن نظرة المرأة اليوم نحو الحمل والانجاب قد تغيرت نتيجة بعض العوامل وكان التلوث البيئي من أكثر العوامل تأثيرآ ، لانه يمثل أكثر الاخطار التي تبيد الجنس البشري وتقطع جذوره وتهدم سلالته الاصليه من خلال عملية التغاير في الجينات الوراثية وانتقالها عبر الاجيال . وأن أثاره لم تقتصر على الجانب الصحي للأم بل تعداه الى الجانب النفسي فاتجاهات الامهات اليوم نحو الحمل والانجاب ليس كما هو ف

This study identifies the contribution of some positive variables (happiness, optimism, and hope) to the level of psychological health in the practitioners of the nursing profession in Algeria, a total of (38) male and female nurses were employed as research sample. The researcher used a scale to measure happiness, optimism, hope, and psychological health. The results showed that the level of psychological health varies depending on the positive variables (happiness, optimism), as well as it depends on the variables of gender and professional Experience.

The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem. When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied. The Frcéhet derivative derivation of the "Hamiltonian" is obtained. Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the stat

أهمية البحث والحاجة إليه :

يعد تفعيل بناء المؤسسات التربوية ورفع مستواها من المهمات الأساسية  التي ينبغي تحقيقها من خلال تحسين دورها في التعبير عن الأرادة المجتمعية المرتبطة  والمتناغمة مع مقومات البيئة المادية والبشرية وعلى وفق متغيري الزمان والمكان، وان مسؤولية الأدارة التربوية تتمحور في أعادة النظر في هياكلها الوظيفية الادارية واستثمار الطاقات البشرية العاملة وتنظيمها ووضعها

Children are the victims most tragic and suffering among the other categories, particularly using the ugliest attacks by their families because of the Family pressures of economic and especially resulting from inadequate family income and other factors leading to domestic violence, for example, family disputes and the disintegration of the family, inequality and segregation between family members and the use of violence as a means to solve problems and this is what is reflected on the child's health due to the processes of socialization inadequate and contradictory and loose had not depend on the principles of punishment and reward and imponderables between soft and intensity of treatment and methods of interaction with the child would b

Adolescence important and sensitive stage in social terms, being a stage where learns teenager bear social responsibilities and composition of their ideas about family life, as well as it is the stage where the teenager looking to himself for an important place in the community to become independent socially people, so it highlights the role of Social Work to do better effort and I believe him in order to prepare for the adolescent stage of adolescence and help him overcome the problems so that makes it adapts to the society in which he lives