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
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The achievement of economic and social welfare for individual is the main target to all policies that adopted by all countries worldwide either were economic, social, political or others. The obtaining of education by individuals and especially the higher education is one of the most important determinates in achieving the wellbeing and lasted economic development. This is because via the higher education new fields can be opened in front of individuals in order to get adequate jobs associated with their scientific specialization. This is allowing educated individuals gain higher income that can reduce the gap of income inequality.
Thus, this paper aims to analysis the n
... Show MoreBarhi dates fruit are one of the most important date palm cultivars which are some of their properties they are mostly eaten and sold at the khalal stage when it has become yellow compared with rutab stage. At this stage the fruit loses its astringency and becomes sweet and best texture, therefore. High moisture content and rapid ripening of Barhi dates shorten their shelf life, as well the Khalal stage lasts for about 4 weeks until the ripening of the fruits begins and transfer to rutab stage. In the present study, Barhi dates packaging in the first by common air - packaging and
second by Modified atmosphere packaging, MAP A (5% O2 + 20% CO2) and MAP B (40%O2+20%CO2) and stored for 30 days at different temperatures 5 and 20 °C, re
اعفاء عقود تراخيص الملكية الصناعية من الحظر وفقا للقانون الامريكي و الاوربي
The features of strategic thought transformation in Russia based on attempt confirm the Russian influenced on Region of Eastern Europe through series of common defense treaties and mutual security between USSR and another states this treaties emphasis size on direct Russian supervision on these states in addition, Russia in trusted to formation communism regimes in its vital space, Russia inherited the status of former USSR in political and economic levels.
Shortly we can see that Russia witnessed large Transformation in political strategic thought as a result of change in internal strategic environment and change of nature understanding which influenced on Russia. This
... Show Moreإن الاستخدام الفعال للأموال العامة يشكل احد الدعامات الأساسية من اجل حسن إدارة تلك الأموال و فعالية القرارات الصادرة عن السلطات المختصة ، و أن هذا الهدف لا يتحقق ما لم تكون الرقابة المالية ذات فعالية لكبح جماح حالات الفساد الإداري النظمي و تفشي ذلك في جهاز الدولة الإداري. لان ظاهرة الفساد الإداري تؤدي بجهاز الدولة الإداري إلى فقدان كيانه الموحد لصالح المنظومات الفاسدة رغم احتفاظه بكيانه الموحد شكليا، كما ت
... Show MoreWomen are considered important characters and subjects of discussion in the Glorious Qur’an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur’an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra’a” امراة and “zawj” زوج occur in the Glorious Qur’an with different meanings depending on the context where they occur.
Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its
... Show MoreThe study aims detection teaching modalities adopted relationship in Jerash University exactly the classroom, and to achieve the goal of the study was to develop a questionnaire consisting of (39) items, and was achieving validity and reliability have, then sent to a sample of professors made up the university from (122) university professor of the total (172) professor, and they study population.
Study found a relationship between the teaching methods of the four their strategies with classroom management, and as a result the overall average level, while Hspt critical thinking at the highest correlation with classroom discipline management relationship strategy, while the relatio
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