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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
Thu Jun 08 2023
Journal Name
Acta Biomed
Diagnostic study of the most important fungal infections associated with some inflammatory bowel disease in Iraqi patients
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The current study aimed to isolate and diagnose the fungi associated with the inflammatory bowel disease patients with 150 samples distributed between 50 samples from Crohn's patients and 50 samples from ulcerative colitis patients, 50 control from Al-Kindy Al Teaching Hospital in Baghdad, Baghdad. Five types of yeast were isolated and identified, namely C. albicans, C.glabarta, Tropicales, C. parapsilosis, C. and C., krusi C. parapsilosis and.and Aspergillus, Penicillium, Muocer, Rhizopous, Saccharomycosis, and Cryptococcus, The results indicated the dominance of Candida spp. In crohn’s disease, the frequency of isolated Candida albicans was 24 (58.54%), Candida glabrata 11 (26.86%), Candida tropicalis 5 (12.2%) and Candida krusi was 1 (

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Publication Date
Mon May 01 2023
Journal Name
Journal Of Pure And Applied Microbiology
The Immunohistochemical Staining of Vimentin and E-Cadherin in Bladder Cancer Patients Infected with Hepatitis C Virus
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Publication Date
Tue Jun 30 2026
Journal Name
Journal Of Engineering
Parametric Study Of Laminar Free Convection In Horizontal Annulus With And Without Fins On The Inner Cylinder
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Publication Date
Thu Jun 30 2022
Journal Name
Journal Of Economics And Administrative Sciences
Using a hybrid SARIMA-NARNN Model to Forecast the Numbers of Infected with (COVID-19) in Iraq
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Coronavirus disease (COVID-19) is an acute disease that affects the respiratory system which initially appeared in Wuhan, China. In Feb 2019 the sickness began to spread swiftly throughout the entire planet, causing significant health, social, and economic problems. Time series is an important statistical method used to study and analyze a particular phenomenon, identify its pattern and factors, and use it to predict future values. The main focus of the research is to shed light on the study of SARIMA, NARNN, and hybrid models, expecting that the series comprises both linear and non-linear compounds, and that the ARIMA model can deal with the linear component and the NARNN model can deal with the non-linear component. The models

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Publication Date
Mon Dec 01 2014
Journal Name
Al-mansour Journal /issue( 22 )
A Thematic Reading of John Bunyan's The Pilgrim's Progress with Introductory References to Islam in English Literature
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The importance of this study lies in shedding the light on the impact of Islam and Prophet Mohammed (peace be upon him) on the western culture and English literature in particular. While some writers were looking at Islam as a dangerous element, others were completely taken by the oriental spirit of Arabic and Islamic culture and glorifying it. Writers from Chaucer to later ones mostly make references to this impact showing how vast was the gap of misunderstanding between the east and the West. Thus, this study aims at breaking the barrier between East and West in its three sections as it introduces the meaning of Islam and its common features with other religions in the first section. The second section briefly presents writers’ reflecti

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Publication Date
Fri Jan 01 2021
Journal Name
Aip Conference Proceedings
Investigating the correlation of AE-index with different solar wind parameters during strong and severe geomagnetic storms
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Publication Date
Sat Feb 05 2022
Journal Name
Applied Nanoscience
RETRACTED ARTICLE: The impact of fear on a stage structure prey–predator system with anti-predator behavior
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A prey-predator interaction model has been suggested in which the population of a predator consists of a two-stage structure. Modified Holling's disk equation is used to describe the consumption of the prey so that it involves the additional source of food for the predator. The fear function is imposed on prey. It is supposed that the prey exhibits anti-predator behavior and may kill the adult predator due to their struggle against predation. The proposed model is investigated for existence, uniqueness, and boundedness. After determining all feasible equilibrium points, the local stability analyses are performed. In addition, global stability analyses for this model using the Lyapunov method are investigated. The chance of occurrence of loc

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Publication Date
Tue Jun 20 2023
Journal Name
Bulletin Of The Iraq Natural History Museum
REVISION OF THE GENUS XYLOCOPA LATREILLE, 1802 (HYMENOPTERA, APIDAE) WITH A NEW RECORD OF SPECIES IN IRAQ
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In this study, the genus Xylocopa Latreille, 1802 (Hymenoptera: Apidae) was revised. There were 4 species registered in our investigations: X. hottentotta Smith, 1854; X. olivieri Lepeletier, 1841; X. pubescens Spinola, 1838 and X. valga Gerstäcker, 1872, the first species was described as being found for the first time for the insect fauna of Iraq, which were obtained from Solanum melogena L. flowers. Key to the species was constructed and supported by figures of the main diagnostic characters and some morphological features, illustrated and compared with other species, which are recorded in the current survey.

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Publication Date
Sun Nov 01 2020
Journal Name
J Dermatol Venereol
Clinical and histopathological evaluation of pigmented morphea with new insight in relation to etiopathogenesis of the disease
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KE Sharquie, AA Noaimi, E Abdulqader, WK Al-Janabi, J Dermatol Venereol, 2020 - Cited by 6

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Publication Date
Wed Jul 10 2019
Journal Name
Proceedings Of The Institution Of Mechanical Engineers, Part H: Journal Of Engineering In Medicine
The speed, reflection and intensity of waves propagating in flexible tubes with aneurysm and stenosis: Experimental investigation
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A localized stenosis or aneurysm is a discontinuity that presents the pulse wave produced by the contracting heart with a reflection site. However, neither wave speed ( c) in these discontinuities nor the size of reflection in relation to the size of the discontinuity has been adequately studied before. Therefore, the aim of this work is to study the propagation of waves traversing flexible tubes in the presence of aneurysm and stenosis in vitro. We manufactured different sized four stenosis and four aneurysm silicone sections, connected one at a time to a flexible ‘mother’ tube, at the inlet of which a single semi-sinusoidal wave was generated. Pressure and velocity were measured simultaneously 25 cm downstream the inlet of th

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