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 second half of the last century witnessed a great scientific revolution that was able to bring about wide changes in various fields, including the field of physical education, which plays a fundamental role in the process of change for the better, and which knocked all the doors of modern science in various aspects and from this perspective we see that students have different capabilities And interests and motives, which require providing a differentiated education, and this depends on the necessity of knowing each student and on the school’s ability to know appropriate strategies for teaching each student so there is no single way to teach so the research problem comes in experimenting with an educational method that works on
... Show MoreAnger is one of the problems of scientific importance that psychologists and education scientists are interested in, especially societies and educational environments, because if a child’s anger continues to develop into violence, then it becomes an unusual behavior, and an indication of the child's lack of adaptation to his family and his environment (Moses, 2013: 4) &n
... Show MoreThe study of Terracotta in Mesopotamia is one of the important
technical topics that gave us valuable information ،whether from a
technical or cultural point of view
تصنيع الطابوق الحراري الثقيل من خامات محلية
اتخذت الهند موقفاً محايداً من الحرب الروسية الأوكرانية، لما له من أبعاد سياسية واقتصادية وعسكرية مع أطراف الصراع في الحرب، وقناعتها بعدم قدرتها على التأثير فيها. فهي تربطها علاقات استراتيجية تاريخية مع روسيا، الداعمة لها سياسياً في مجلس الأمن والوسيط ضد خصومها الصين وباكستان. لذلك الهند مقتنعة بأن أوكرانيا تُعدّ مجالاً للنفوذ الروسي الذي عمل حلف شمال الأطلسي على التوسع به رغم التحذيرات الروسية. لذا أيقنت ا
... Show MoreThe current research tries to study the reasons for lying since its
inception, as it is interesting to a child's moral growth, which can benefit from
the results of this research by institutions of socialization, parents and
teachers in the treatment and care of children.
The objective of this research is to highlight the reasons for lying to the
children from the viewpoint of teachers and the answer to the paragraphs of
research designed research instrument (questionnaire) was distributed to a
sample of teachers was clear from the analysis that the reasons lie that
received a high percentage of members of the sample are: -
- The fear of severe punishment
- Child rid himself of a specific problem
- To sat
من نحن ؟ التحديات التي تواجه الهوية الامريكية
Etude de I' espace dans un extrait de Les sequestres d' Altona de Jean
Establishing sustainable cities and residential neighborhoods requires the development of new planning strategies, as adopting sustainable planning strategies when planning urban land uses for residential neighborhoods is necessary due to the large number of urban land use problems that have emerged during urbanization. The most prominent modern concept concerned with the land was the concept of sustainability, as sustainable planning aspires to link knowledge with sustainability through measures to achieve it. Therefore, sustainable planning works to apply the principles of sustainability in planning.
And in view of the circumstances that our country went through, which negatively affected various sectors and aspects of life, in
... Show More