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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
Wed Jan 02 2019
Journal Name
Journal Of The College Of Languages (jcl)
Animal-Based Metaphors as Being a Lingua-Cultural Way in the Field of Football Club Titles: Зооморфная метафора как лингвокультурологический способ в области прозвищ футбольных клубов
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       Metaphor is a linguistic phenomenon related to people's cultures. It is an integral part of cultural heritage. This paper tackles the use of animal-based metaphors in the field of football club titles so as to draw comparisons between those in Russian with their counterparts in Arabic. Names of animals are used to refer to some clubs and teams, where these names or titles reflect animal features such as strength, preying on victims; or animal figures are employed in the club symbols, or due to the similarity of the club shirt to the animal outer shapes in colours. For instance, "an-Nawaris", which means gulls in English, is used to refer to az-Zawraa club du

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Publication Date
Wed Sep 30 2015
Journal Name
College Of Islamic Sciences
Fundamentalist detective On matters of consensus   Of Khala book complete the teacher benefits of Muslim Judge Ayaz (May God have mercy on him): Comparative fundamentalist study
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Fundamentalist detective
On matters of consensus
  Of Khala book complete the teacher benefits of Muslim
Judge Ayaz
(May God have mercy on him)

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Publication Date
Fri Dec 01 2017
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
FIRST RECORD OF ADONTOMERUS AMYGDALI (BOUCEK, 1958) (HYMENOPTERA, TORYMIDAE): A PARASITOID OF THE ALMOND FRUIT WASP, EURYTOMA AMYGDALI ENDERLEIN, 1907 (HYMENOPTERA, EURYTOMIDAE) IN ERBIL PROVENCE, IRAQ
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    Adontomerus amygdali (Boucek, 1958) (Hymenoptera, Torymidae) is recorded for the first time in Iraq, parasitizing almond fruits wasp, Eurytoma amygdali Enderlein, 1907 (Hymenoptera, Eurytomidae) infesting fruits of almond trees Prunus dulcis (Mill.) D. A. Webb (=Amygdalus communis Linn.)   growing in Koysinjaq district, Erbil, Iraq. A short morphological description of this species is presented.

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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of The College Of Languages (jcl)
Heated and silent adoration in the novel of " Desert of Love" by Francois Mauriac: Passions dévorantes et cachées dans Le Désert de lʼAmour de François Mauriac
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  François Mauriac’s novel The Desert of Love (1949) puts the reader before an experienced sociologist who is skillfully able to analyze the most mysterious human emotions and feelings.  The writer's starting point is that people are similar in feelings but different in behavior. He severely criticized the aristocratic class and uncovered its defects and faults.

         The novelist presents Courege's family as an example of the aristocratic class. It is a family torn by hatred, selfishness and disagreements due to absence of intimacy and love. This poisoned environment pushes the father and his son, Raymond, to search away for emotional ventures and banned relations

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Publication Date
Thu Nov 06 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation the effect of nano-fillers (TiO2, AL2O3, SiO2) addition on glass transition temperature, E-Moudulus and coefficient of thermal expansion of acrylic denture base material
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Background: The PMMA polymer denture base materials are low in thermal and strength properties. The aim of the study was to investigate the change in glass transition temperature, E-Moudulus and coefficient of thermal expansion of acrylic denture base material by addition of Al2O3, TiO2 and SiO2nano-fillers in 5% by weight. Materials and methods: The type of polymerization is free radical bulk polymerization. one hundred twenty (120) specimens were prepared , the specimens were divided into four groups according to the material had been added (one control and three for Al2O3, TiO2 and SiO2nanocomposite) each group was subdivided in to three groups according to the test had been done on it, the degree of transition (Tg) was measured by The d

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Publication Date
Wed Aug 31 2022
Journal Name
Al-kindy College Medical Journal
Detection of Parvovirus B19 DNA in pregnant Sudanese women attending The Military hospital using Nested PCR technique : Detection of Parvovirus B19 DNA in pregnant Sudanese women
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Background: Parvovirus B19 is a human pathogenic virus associated with a wide range of clinical conditions. During pregnancy congenital infection with parvovirus B19 can be associated with poor outcome, including miscarriage, fetal anemia and non-immune hydrops.  

Objective: The study aimed to determine the prevalenceof Parvovirus B19 DNA in pregnant women attending the Military hospital in Khartoum, demonstrating the association between the virus and poor pregnancy outcomes.

Subjects and methods: This study was a cross sectional study, testing pregnant Sudanese women whole blood samples (n= 97) for the presence of Parvovirus B1

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Publication Date
Fri Dec 01 2023
Journal Name
Tropical Journal Of Natural Product Research
Investigating the Impact of Phenolic and Terpene Fractions extracted from Prunus arabica on p53 Protein Expression in AMJ13 and SK-GT-4 Human Cancer Cell Lines
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Publication Date
Thu Jun 15 2023
Journal Name
Journal Of Population Therapeutics And Clinical Pharmacology
Detection the Phylogenetic groups of E. coli that isolated from diarrheal in children under five years and study their relationship of common serotypes in Baghdad hospitals.
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Publication Date
Mon Feb 07 2022
Journal Name
مجلة الدراسات الاقتصادية والادارية
Measuring readiness to accomplish organizational change through personal characteristics: Crisis management approach: An exploratory study of the opinions of a sample of managers at Central Technical
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The self-evident truth existing in today's business environment is the continuity of change and its continuity and turmoil, also its increase over time as it is more abundant, abundant, wide and complex than ever before, and it is the dominant feature in the business environment, as different organizations and operating units can find themselves shifting from the top to the bottom. And then it requires its departments to strive to adapt to these rapid and turbulent shifts and changes by bringing about a series of organizational and adaptive changes that are not limited to one organizational aspect only but rather include all organizational components. Accordingly, this research came to determine the readiness of public organizations to chan

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Publication Date
Wed Jan 02 2019
Journal Name
International Journal Of Agricultural & Statistical Sciences
RESPONSE OF OLIVE SEEDLINGS TO HUMIC ACID AND INOCULATION BY FUNGI (TRICHODERMA SSP) AND THE INTERACTION OF THEM AND IRRIGATION BY SALT WATER ON VEGETATIVE GROWTH.
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