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The operational matrices for Elliptic Partial Differential Equations with mixed boundary conditions
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Abstract<p>The purpose of this research is to implement the orthogonal polynomials associated with operational matrices to get the approximate solutions for solving two-dimensional elliptic partial differential equations (E-PDEs) with mixed boundary conditions. The orthogonal polynomials are based on the Standard polynomial (<italic>x<sup>i</sup> </italic>), Legendre, Chebyshev, Bernoulli, Boubaker, and Genocchi polynomials. This study focuses on constructing quick and precise analytic approximations using a simple, elegant, and potent technique based on an orthogonal polynomial representation of the solution as a double power series. Consequently, a linear partial differential equation is transformed into a linear algebraic system which is solved by the Mathematica®12. Approximate solutions can be found if the answers are polynomials in and of itself. Three applications involving well-known linear problems Laplace, Poisson, and Helmholtz equations have been solved by using the proposed methods, and a comparison of the approaches has been provided. Furthermore, the computation of the error norm <italic>L<sub>∞</sub> </italic> has been done to show the accuracy of the suggested approaches. The results clearly demonstrate how precise, efficient, and dependable the proposed methods are in obtaining rough solutions to the problem. Bernoulli was one of the best methods in most examples.</p>
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Publication Date
Fri Jul 03 2026
Journal Name
Modern Sport
The reasons for the failure of simple assault and its relationship to the level of levelp performance skill players weapon sword
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The method of analysis is one of the tools the coach to identify strengths andweaknesses of each player, and how to avoid mistakes that in the course ofperformance on the other hand, Voslob analysis is important for the player, as throughthe analysis will determine the capacity enjoyed by both the coach and player, as wellas being the possibility of progress in a scientific manner thoughtful, and also helps inthe evaluation of physical and skill level and tactical, psychological and trainingcapacity of the coach in order to avoid obstacles and make the coach is movingtowards the right track to improve the good level, and then an investigation tocomplete higher education.Hence the importance of research in the analysis of simple attack and n

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Publication Date
Sun Dec 01 2019
Journal Name
2019 First International Conference Of Computer And Applied Sciences (cas)
A Comparison for Some of the estimation methods of the Parallel Stress-Strength model In the case of Inverse Rayleigh Distribution
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Publication Date
Thu Dec 31 2020
Journal Name
College Of Islamic Sciences
The value of freedom and its relationship to the will of God for the actions of worshipers between Islam and existentialism
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This research discusses one of the largest and most important issues of a doctrinal and philosophical dimension at the same time, which is the issue of man’s freedom to choose his actions, and thus his responsibility for those actions, by looking at the nature of these acts, their being and the origin of their creation. He showed that they were created in man by force, and that he was their original creator, and that they were among the creatures of the God Almighty God like others, but they are attributed to man through acquisition. So to the first saying went Jahmiyya or Jabariyya, and to the second saying went to fatalism in the past, and the existentialists shared with them in the modern era, and to the third saying went to the Sun

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Publication Date
Fri Jan 15 2021
Journal Name
Plant Archives
AN ECONOMIC STUDY TO MEASURE THE IMPACT OF THE MAIN VARIABLES ON RURAL POVERTY IN IRAQ FOR THE PERIOD 1990-2019
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Publication Date
Tue Dec 01 2009
Journal Name
Journal Of Economics And Administrative Sciences
Measuring the impact of interest rates on the movement of international financial flows (Japan case study) for the period 1985-2005
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يعد الاقتصاد الياباني احد اكبر الاقتصادات الرأسمالية المتقدمة ويحتل المرتبة الثالثة بعد الاقتصاد الأمريكي واقتصاد الاتحاد الاوربي من حيث حجم الناتج المحلي الإجمالي والذي يكاد يقترب من (5) تريليون دولار سنويا.

لقد ادت التطورات المتلاحقة التي شهدها الاقتصاد العالمي وخاصة في حقل التمويل الدولي خلال العشرين سنة الاخيرة الى تصاعد وارتفاع في حجم وحركه رؤوس الاموال الدولية على اوسع نطاق بحيث ا

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Publication Date
Wed May 12 2021
Journal Name
Indian Journal Of Forensic Medicine &amp; Toxicology
The Effect of the Programmed Education Strategy to Learning the Under Hand Service and Receiving Service Skills of Volleyball for Juniors
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In order to advance the education process and raise the educational level of the players, it became necessary to introduce new educational aids, programmed education in the education process, through which the basic skills to be learned are explained and clarified, and immediate feedback is provided that would enhance the information of the learner, and Reaching the goal to be achieved, taking into account the individual differences between the players, and thus it is possible to move away from the educational methods used in learning skills, which requires great effort and time, in addition to that the open playground may not perform the skill accurately and the player looks from one side, while when using the computer you look from severa

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Publication Date
Fri Jul 03 2026
Journal Name
Journal Of Baghdad College Of Dentistry
The relation among ramal width and length with some cervical and cranio-facial measurements in different skeletal classes
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Background: The purpose of this study was to assess the relation among the ramal length and width with various cervical and cranio-facial measurements for a sample of Iraqi adults with different skeletal classes. Materials and method: The sample composed of 71 Iraqi adults (36 females and 35 males) with an age ranged between 17-30 years and had different skeletal mal-relations using SNA, SNB and ANB to differentiate between them and assorting them into CL.I, CL.II and CL.III mal-relation. Each individual was subjected to clinical examination and digital true lateral cephalometric radiograph that had been analyzed using AutoCAD 2007 software computer program to determine sixteen linear and ten angular measurements. Descriptive statistics wer

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Publication Date
Thu Apr 21 2022
Journal Name
Neuroquantology
New Record of the Species Margarinotus punctiventer, Marseul, 1854 (Histeridae, Coleoptera) with Forensic Study from Sulaymaniyah, City Iraq.
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Publication Date
Wed Nov 23 2022
Journal Name
Neuroquantology2
New record of the species Hydroteae crytoneurina (Zetterstdt, 1845) (Diptera, Muscidae) with forensic study from Sulaymaniyah City-Iraq
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Publication Date
Tue Sep 14 2021
Journal Name
Research Journal Of Pharmacy And Technology
The Isolation of specifically lytic phages along with their extracted endolysins as antibacterial agents to MDR Enterococcus faecalis
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Background: Multidrug-resistant (MDR) enterococci have become a major problem in recent times and have been reported increasingly around the world. Lytic phages infect bacteria leading to rapid host death with limited risk of phage transduction, underlining the increasing interest in potential phage therapy in the future. Objective (s): The aim of this study is to use phage therapy as alternative approach for treatment of Enterococcus faecalis infections that recorded as MDR in Iraq to tackle this problem. Materials and Methods: Thirty E. faecalis isolates were collected from patients with different infectious diseases such as urinary tract infection (UTI), diabetic foot, septicemia, and wound infections. The isolation of specific l

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