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

In this work, diabetic glucose concentration level control under disturbing meal has been controlled using two set of advanced controllers. The first set is sliding mode controllers (classical and integral) and the second set is represented by optimal LQR controllers (classical and Min-, ax). Due to their characteristic features of disturbance rejection, both integral sliding mode controller and LQR Minmax controller are dedicated here for comparison. The Bergman minimal mathematical model was used to represent the dynamic behavior of a diabetic patient’s blood glucose concentration to the insulin injection. Simulations based on Matlab/Simulink, were performed to verify the performance of each controll

This 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

This research aims to identify the impact of the selective model in acquiring the concepts of Kurdish grammar among female students in the eighth grade, and to achieve the goal of research, the researcher selected the experimental design with partial control  and dimensional testing; the sample includes basic schools in the Chim district of Chamal/ Sulaymaniyah and randomly selected the basic school (Maha Bad) to be the field of application of the experiment and the random drawing method was chosen: two out of three sections and the number of students of the two sections is (75) students; section (C) represents the experimental group that studied the rules according to the selective model and its number is (37) students, while secti

The research aims to know (the effect of the pdeode strategy) in acquiring historical concepts among the fourth-grade literary female students in the history module. To achieve the goal of this research, the following null hypothesis was formulated. There is no statistically significant difference at the level of (0.05) between the average scores of the experimental group students, who study history according to the PDEODE strategy, and the average scores of the control group students who study the same module in the traditional way of the historical concepts acquisition test.The researcher chose the experimental method for the current research and adopted the experimental design of partial control with a post-test, which depends on the

The latest events in Iraq and notably the fall of Mosul in the summer of 2014 have marked a turning point in The modern history of Iraq. Violent terrorist groups have overrun a vast area comprising of many towns in mid and northern Iraq causing many casualties and mass migration. Despite Iraq’s long history of pain and suffering the events of the second half of the year 2014 have been the most violent ever witnessed. From this point of view the researcher has tried to identify specifically in this time and place the effect these events have had on the Iraqi artist and to understand how the Iraqi artists depicted this violence in their works of art. The research comprises four parts; the first looked at the language used and the and pro

Violence is a speech in TV drama an important stage in the course of this experience and history in general. This experience has reflected the creative and ideological components and provided models of series involving the diversity as well as the abundance of Maantj even used contemporary societies to consume this amount of violence, crime and influenced generations Emma affected throated and characters that were not affected are learning and consisted of the names and the faces and actions of their stars and stories carried by.
Researcher puts the problem purely under the following question:
What are the treatments for directorial scenes of violence in the serial TV drama?
Then the methodological framework contained aim of the

أيديولوجيا العنف في الفكر الاسلامي : داعش أنموذجاً

      لطالما تحاشينا الخوض في الحديث عن المرأة , وكل ما يتعلق بها من موضوعات , خصوصا في سياق ما يطرح حولها من أمور كأنها لاتخص غيرها مثل : " الحرية "   "والمساواة "  " والحقوق " ... وغيرها من المواضيع التي تعج بها الكتب والشاشات والبرامج والمؤتمرات والندوات , التي غالبا ما ترفع فيها الشعارات المؤدلجة وتوضع اخرى , في أتون محموم , إن دل على شيئ فانه يدل بالدرجة الاولى عن مدى الفوضى الفكرية التي نعي