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.
Frequency equations for rectangular plate model with and without the thermoelastic effect for the cases are: all edges are simply supported, all edges are clamped and two opposite edges are clamped others are simply supported. These were obtained through direct method for simply supported ends using Hamilton’s principle with minimizing Ritz method to total energy (strain and kinetic) for the rest of the boundary conditions. The effect of restraining edges on the frequency and mode shape has been considered. Distributions temperatures have been considered as a uniform temperature the effect of developed thermal stresses due to restrictions of ends conditions on vibration characteristics of a plate with different
... Show Moreobjective the research to diagnosis and interpretation of the nature of the effect between the basic elements of knowledge management (tecgnology , structure , culture , process , human resource ) and the strategic performance of the Iraqi private banks, the research community and the level dimensions, and I've tested this research in the private banking sector represented by (7), especially in Baghdad, Iraqi banks, and applied research on sample consisting of 100 distributors in several administrative levels Director (Director, Director of the department, branch manager), and use the researcher questionnaire Head to collect data and information tool, and some private banks annual reports, has sought research to test
... Show MoreE.M. Forster (1879-1970) is one of the important novelists who dealt with the personal and social lives of the people in England during the early beginning of the twentieth century. During his literary career, he developed gradually his views about man and his position in society.
In his first novel, Where Angels Fear to Tread (1902), the focus is laid on local and personal issues in the lives of the characters. It is limited to the relations between neighbours in small communities. Though the setting is shifted to Italy, Forster does not make full use of this shift to present cultural or racial conflicts; rather he limits his plot to the private tr
... Show MoreAchieving the Book of Return to the End of the Book of Alimony from the Manuscript of the Forum of the Abhar of the Sheikh (Abraham Bin
Muhammad ibn Ibrahim al-Halabi (d. 956 AH), who was a member of the Hanafi sect, was a long man
Fiqh, interpretation, modernity, Arab sciences, and readings
Hanafi as well as that he was Abid Zahid and the reason for his claim to this book that asked him some
He asked him to take advantage of it
Al-Hanafiya said, mentioning the sources from which he was taken, and presented his opinion and evidence on the correct
He mentioned the issues of the Hanafi jurisprudence in his book according to the chapters of the jurisprudence
Reaction is done to what you have achieved previously in the h
Praise be to God, Lord of the worlds, and peace and blessings be upon our master Muhammad and his family and companions as follows:
For God Almighty has swapped for every age a group of religious scholars who give news to the narrators, so that they can lie against the Sunnah of the Mustafa, who is among those who memorized Ibn Al-Mulqin, as he followed the ruler in his book Al-Badr Al-Munir in the Hadith of Al-Sharh Al-Kabeer, and our research included two topics, which we explained in the first topic: The sequels in which the teacher's son Al-Malqin disagreed, and we discussed in the second topic: the followings in which Ibn Al-Malqin agreed to rule.
This research included important results, th
This research seeks to attempt to reveal the intention of Al-Hafiz Al-Mazi from his market to hadiths from Imam Ahmad’s Musnad in his book “Masterpiece of Supervision in Knowing the Parties”, and researchers know that this book was classified by Al-Mazi to collect the parties to the six books: Sahih Al-Bukhari, Sahih Muslim, Sunan Abi Dawud, Jamea Al-Tirmidhi and Sunan Al-Nasa’i and Sunan Ibn Majah, in addition to some of the books ’authors’ books, and arranging them according to the Musnad, and it is not Musnad Ahmad from his condition, even if it is close to the arrangement of Mazi’s work, as he was a follower of that to the original owner Abu al-Qasim bin Asaker in his book “Supervising Knowledge of the Parties” in M
... Show MoreThe importance of the research lies in preparing exercises using a proposed device to learn the skill of thehuman wheel on a machine rug of ground movements of the artistic gymnastics. As for the research problem:Through the presence of the two researchers as teachers and observers of this sport in the gymnastics hall,they noticed that there is difficulty in the students’ performance of the skill of the round off on the machineof the mat of ground movements, according to the researchers’ opinion, the reason for this is that skillsare taught with the limited availability of assistive devices, as well as the lack of use of these devices inexercises according to biomechanical variables, although they facilitate the learning process
... Show MoreIn this work, the occurrence conditions of both local Bifurcation and persistence were studied, Saddle-node bifurcation appears near fourth point, near the first point, the second point and the third point a transcritical bifurcation occurred but no pitchfork bifurcation happened near any of the four equilibrium points. In addition to study conditions for Hopf-bifurcation near positive stable point that is the fourth point. Besides discuss persistence occurrence as globally property of the food chain of three species include prey, first predator and top predator with impact of toxin in all species and harvesting effect on the predator’s only. Numerical results for the set of hypothe
In this research, some robust non-parametric methods were used to estimate the semi-parametric regression model, and then these methods were compared using the MSE comparison criterion, different sample sizes, levels of variance, pollution rates, and three different models were used. These methods are S-LLS S-Estimation -local smoothing, (M-LLS)M- Estimation -local smoothing, (S-NW) S-Estimation-NadaryaWatson Smoothing, and (M-NW) M-Estimation-Nadarya-Watson Smoothing.
The results in the first model proved that the (S-LLS) method was the best in the case of large sample sizes, and small sample sizes showed that the
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