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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
Tue Dec 19 2023
Journal Name
Bulletin Of The Iraq Natural History Museum
MORPHOLOGICAL AND MOLECULAR STUDIES OF KAIS KINGFISH CYPRINION KAIS HECKEL, 1843 (PISCIES, CYPRINIFORMES, CYPRINIDAE) FROM THE MIDDLE OF IRAQ
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Cyprinidae species are the most abundant and widely distributed fish species in the inland waters of Iraq. Cyprinids are complex species, and it is difficult to identify them on the basis of morphology. Thus, the morphological characteristics must be achieved and confirmed by molecular analysis. Twenty specimens of Cyprinion kais Heckel, 1843 (Piscies, Cypriniformes, Cyprinidae) were collected from two localities at Tigris River in the middle of Iraq: five specimens from Al-Tharthar Lake, Saladin Province, and 15 specimens from Al- Zubaydiyah sub-district, Wasit Province. The DNA sequences of C. kais were done using the mitochondrial DNA cytochrome b (cytb) gene. After analysis, the sequences were compared with sequences of ot

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Publication Date
Tue Jan 01 2019
Journal Name
Journal Of Global Pharma Technology
The role of levan produced from pseudomonas fluorescens as antipathogenic substances and phagocytic enhancer against some of bacterial isolates
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Publication Date
Tue Jun 02 2026
Journal Name
Journal Of Baghdad College Of Dentistry
The Electrophoretic Deposition of Nano Al2O3 and AgNO3 on CpTi Dental Implant (An in vitro and in vivo study)
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Background: Even the wide use of dental implants, still there is a proportion of implants are failed due to infection. Much considerable attention has been paid to modify the implant surface. Coating of dental implant with a biocomposite material of suitable properties can improve osseointegration. And this is the main concern of this study. The aim of present study was to evaluate the use of a biocomposite coating of dental implant with (ceramic nano Al2O3 and metalic AgNo3) on the bond strength at bone – implant interface and tissue reaction. Materials and methods: A total number of forty-eight screws, CpTi dental implant used in this study. Half of these screws were coated with a biocomposite material of nano (Al2O3and AgNo3), thi

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Publication Date
Tue Jun 01 2021
Journal Name
Arab Researcher
The Civil Liability of Hotels toward Victims of Sex Trafficking – A Study in Light of Iraqi and U.S. Law
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In view of the large profits made by the sex trade on the one hand, and the minor penalties imposed on the traffickers (brokers) compared with the severe penalties imposed on the drug trade and illegal weapons, on the other hand, this trade has become popular and spread in most countries of the world, and the cornerstones of this trade and A safe haven for them is hotels, especially luxury ones with international brands where their guests are rich and some may look for sex for money. Given the great physical and psychological damage to the victims, this research highlights the civil liability of hotels towards these victims in US and Iraqi law.In order not to limit the

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Publication Date
Fri Jul 01 2016
Journal Name
Journal Of Engineering
Identificatio n Of Key Factors Affecting Waste Management In Life Cycle Of The Construction Project By Using Delphi Technique
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The problem of generated waste as a result of the implementation of construction projects, has  been aggravated recently because of construction activity experienced by the world, especially Iraq, which is going through a period of reconstruction, where construction waste represents (20-40%) of the total generated waste and has a negative effect on the environment and economic side of the project. In addition, the rate of consumpted  amounts of natural resources are estimated to be about 40% in the construction industry, so it became necessary to reduce waste and to be manage well. This study aims to identify the key factors affecting waste management through the various phases of the project, and this is accom

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Publication Date
Thu Dec 13 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Study of the Relationship between Some Microorganism Isolated from Congenital Anomalies Neonatal Screening and Their Mothers in Iraqi Patient
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Objectives : This study was seeks to determine the IgG and IgM in serum mothers and their babies of Iraqi patient suffering from congenital anomalies toward some microorganisms such as Cytomegalovirus (CMV), Congenital toxoplasmosis , Congenital rubella and Genital herpes simplex virus (HSV) correlated with age and babies gender the sample was collected from AL- Alwayia hospital for children / Baghdad . Methodology : Fifth blood sample have been collected from mothers and their babies suffering from congenital anomalies to detection IgG and IgM of some viruses including as Cytomegalovirus (CMV), congenital tox

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Publication Date
Wed Sep 15 2021
Journal Name
Journal Of Baghdad College Of Dentistry
Effect of plasma treatment on the bond of soft denture liner to conventional and high impact acrylic denture materials
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Background: The main drawback of soft lining materials was that they debonded from the denture base after a certain period of usage. Therefore, the purpose of this research was to determine the impact of oxygen and argon plasma treatment on the shear bonding strength of soft liners to two different kinds of denture base materials: conventional acrylic resin and high impact acrylic resin. Materials and Methods: Heat cure conventional and high impact acrylic blocks (40 for each group) were prepared. A soft liner connected the final test specimen of two blocks of each acrylic material. Shear bond strength (SBS) was assessed using universal testing machine. Additional blocks were also prepared for analyzing Vickers microhardness, contact ang

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Publication Date
Mon Nov 10 2025
Journal Name
International Journal Of Dentistry
The Impact of Overweight Among Children on Salivary Vitamin D, Calcium, and Magnesium in Relation to Dental Caries Severity
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Vitamin D is one of several nutrients essential for calcium metabolism. Body weight status and magnesium may influence vitamin D activity. To determine whether salivary vitamin D, magnesium, and calcium levels are associated with body weight status and dental caries severity in children, this cross‐sectional research was conducted.

Methods

The sample consisted of 180 boys aged 6–8 years. According to their body mass index (BMI), children were assigned to three groups of 60 boys (normal weight, overweight, and obese). Moreover,

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Publication Date
Sun May 08 2022
Journal Name
Sport Tk-revista Euroamericana De Ciencias Del Deporte
Effect of using the simultaneous electronic presentations strategy in teaching basic skills of basketball to second-grade intermediate students
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The primary aim of this study was to identify the effect of using the simultaneous electronic presentations strategy in teaching basic skills of basketball to second-grade intermediate students. The present study had a parallel group, pre-post experimental design. In the present study the students of the Salah al-Din Intermediate School for the academic year 2020-2021 constituted the research community. A total of 75 students were present in the research community. Out of 75 students 16 students were selected as the participants for the study. The students falling within the age group of 13-14 years were recruited as the study participants, making up a percentage of 21.33 of the total number. Based on the results of th

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Publication Date
Tue Jun 02 2026
Journal Name
Journal Of Baghdad College Of Dentistry
The effect of addition nano particle ZrO2 on some properties of autoclave processed heat cure acrylic denture base material
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Background: Polymethyl methacrylate (PMMA) is used in denture fabrication and considered as the most reliable material for the construction of removable prosthodontic appliances. The material is far from ideal in fulfilling the mechanical requirements and the effect of autoclave processing has not been fully determined. The purpose of this study was to evaluate the effect of addition of salinized (ZrO2) Nano fillers in percentages 3%, 5% and 7% by weight on some properties of heat cured acrylic processed the by autoclave and compare it with 0% (control) group . Materials and methods: The silanized(ZrO2) Nano-particles was added to PMMA powder by weight in three different percentages 3%, 5% and 7%, mixed by probe ultra-sonication machine.

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