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.
This study is an approach to assign the land area of Kirkuk city [ a city located in the northern of Iraq, 236 kilometers north of Baghdad and 83 kilometers south of Erbil [ Climatic atlas of Iraq, 1941-1970 ] into different multi zones by using Satellite image and Arc Map10.3, zones of different traffic noise pollutions. Land zonings process like what achieved in this paper will help and of it’s of a high interest point for the future of Kirkuk city especially urban
... Show MorePraise be to God, Lord of the worlds, and peace and blessings be upon our master Muhammad, and upon his whole family and companions, but after: God Almighty has instituted types of acts of worship and classes of obedience that, if performed by the servant, would link him with his Creator and connect with his Lord. And for the sake of these worship, and the greatest of them: the worship of i'tikaaf, for souls need rest and recuperation from the struggle of life and its concerns, concerns and anguish, and people differ in their attitudes and interests in the means of recreation, and many people consider the outing and travel the best way in which they breathe from their toil and toil, and reclaim their strength and the advised adult He fin
... Show MoreThis research includes the investigation of a part of the manuscript called Summarizing Examination Book (The Science of meaning ) Hassan Kafi Al-Aqhsari , which contains the part of the science of rhetoric. The investigation was carried out through a series of steps, the most important of which is to show the difference between copies of the manuscript and then access to the texts contained in verses, hadiths, poetic verses or vague words to produce this manuscript
للدراسات التاريخية أهميتها ولاسيما دراسة المؤلفات الذي يعطينا صورة كاملة عن تطور الواقع التاريخي للمرحلة التي عاصرها المؤلف وتكتب دراسة الشخصيات العلمية طابعاً خاصاً ومهم يدفعنا إلى التعريف بالمؤرخ ومنهجه في الكتاب والموارد التي استقى معلوماتهِ منها .
إمتاز ابن حجر بعلميته ، وغزارة عطائه في وضع كتب قيمة وتصانيف موسوعية فكانت كتبه هذه يشار لها بالبنان .
اعتنى الكثير من العلماء فاحتلت المرأة مكانة متميزة في كتبهم وخصصوا لمعطياتها أجزاء واضحة ضمن مؤلفاتهم ويعد أبن حجر أحد هؤلاء العلماء الافذاذ الذين اعتنوا بالمرأة ، وهذا يعني انه أفرد لها جزءاً خاصاً بها سماه ( كتاب النساء) وهو يقع ضمن الجزء الرابع من كتابه ، على الر
... Show MoreIn this study, we investigate about the run length properties of cumulative sum (Cusum) and The exponentially weighted moving average (EWMA) control charts, to detect positive shifts in the mean of the process for the poisson distribution with unknown mean. We used markov chain approach to compute the average and the standard deviation for run length for Cusum and EWMA control charts, when the variable under control follows poisson distribution. Also, we used the Cusum and the EWMA control charts for monitoring a process mean when the observations (products are selected from Al_Mamun Factory ) are identically and independently distributed (iid) from poisson distribution i
... Show MoreThe current study aims to investigate the effect of the interaction between the use of the improve strategy in teaching mathematics and the level of academic achievement on the acquisition of algebraic concepts and habits of mind among tenth-grade students in Oman. The study adopted the experimental method, based on a quasi-experimental design with two groups: experimental and control groups and pre-post-measurement. The study sample consisted of (28) 10th-grade students as an experimental group and 26 of 10th-grade students as a control group in Al-Tufail bin Amr School in South Al Batinah. The differences in the pretest and posttest gains were analyzed using mean, standard deviation, ANCOVA, t-test, effect size (eta-square), and two-wa
... Show Morethe history of Damascus by Ibn ' asaakir d. 571 a.h. 1272 m from local histories books concerned with male citizen narrators, to distinguish between rate and Rob them, this book is more a history of Islamic heritage books on Islamic City, and if we know that Ibn ' asaakir translated it for personal
Objective(s): to assess the effectiveness of educational program on improving diabetic foot self-efficacy concerning managing their feet. Methodology: A descriptive analytic (quasi – experimental) design study was carried out at Diabetic and Endocrinology Center in Baghdad- Rusafa Sector from 2nd of May 2017, to27th June 2018. Non-probability sample of (80) male and female diabetic patients were selected. The study instruments consisted of two major parts: first