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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 Nov 05 2019
Journal Name
Humanities &amp; Social Sciences Reviews
HUMAN LAB RATS IN JAMES DASHNER’S THE MAZE RUNNER SERIES (2009 – 2011): HISTORICAL REFERENCES, PRESENT ALLUSIONS, AND DYSTOPIAN FUTURE
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Purpose: This study aims to shed the light on allusions to real lab rats in Dashner’s trilogy: The Maze Runner (2009), The Scorch Trails (2010), and The Death Cure (2011).  It also aims to trace the historical documents and chronicles essential to reveal the justifications behind the vague political and scientific crimes.  Methodology: The researchers have used the literary analytical approach to study and analyze selected prominent aspects from each novel; such as the concept of lab rats and genocide crimes in The Maze Runner; references to weather experiments, the climate change conspiracy, gas chambers, and the Holocaust in The Scorch Trails; and finally, the man-made diseases and biological weapons in The Death Cure. Results

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Publication Date
Sat Mar 31 2018
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Study of the Performance of Paraffin Wax as a Phase Change Material in Packed Bed Thermal Energy Storage System
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The present work deals with an experimental investigation of charging and discharging processes in thermal storage system using a phase change material PCM. Paraffin wax was used as the PCM which is formed in spherical capsules and packed in a cylindrical packed column which acted as an energy storage system. Air was used as the heat transfer fluid HTF in thermal storage unit. The effect of flow rate and inlet temperature of HTF on the time of charging and discharging process were studied. The results showed that the faster storage of thermal energy can be made by high flow rate of heat transfer fluid HTF and high inlet temperature of heat transfer fluid. It was found that at 65°C HTF inlet temperature, the melting and solidification pr

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Publication Date
Tue Jan 01 2019
Journal Name
Indian Journal Of Public Health Research &amp; Development
Effect of Sponge Cylinder Exercises on The Rubber of Working Muscles to Perform Human Wheel Skill in Technical Gymnastics
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Publication Date
Fri Jun 24 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of incentive legislation in job creativity: An applied study of a sample of Babylon Technical Institute employees
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The Incentives legislation aims to raise the efficiency of job performance of all kinds through optimal investment of human resources and their capabilities to raise or increase and production influence and provide distinguished and creative services such as The Incentives Law of Productive Ministries Employees No. 20 of 1993 and instructions issued by ministries and relevant Facilities regarding incentives for their affiliates based on provisions Public Companies Law and the instructions of the Higher Education Fund issued by the Ministry of Higher Education and Scientific Research. The human element is the most unstable and complex element of production as it is characterized by a set of feelings and emotions that is expresses

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Publication Date
Tue Oct 20 2020
Journal Name
Journal Of Research In Medical And Dental Science
The Effect of Chicken Eggshell Extract on Microhardness of Artificially Induced Dental Erosion in Permanent Teeth (In Vitro Study)
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The Effect of Chicken Eggshell Extract on Microhardness of Artificially Induced Dental Erosion in Permanent Teeth (In Vitro Study), Shatha A Abbas*, Alhan A Qasim

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Publication Date
Mon Jan 01 2018
Journal Name
Journal Of Engineering And Applied Sciences
sEffect of Sb doping on CuAlSe2 thin films and their behavior on the preparation CuAlSe2/Si heterojunction solar cells
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Publication Date
Wed Feb 01 2017
Journal Name
International Journal Of Science And Research (ijsr)
Performance Evaluation of the Organic Matter Removal Efficiency in Wastewater Treatment Plants; Case study Al- Diwaniyah WWTP in Iraq
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This study aims to assess the removal efficiency andestablish the BOD5 and COD statisticalcorrelation of the sewage flowing in Al-Diwaniyah wastewater treatment plant in Iraq during the study period (2005-2016). The strength of the influent wastewater entering the plant varied from medium to high in strength. High concentrations of BOD5 and COD in the effluent were obtained due to the poor performance of the plant. This was observed from the BOD5 /COD ratios that did not confirm with the typical ratios for the treated sewage. To improve the performance of this plant, regression equations for BOD5 and COD removal percentages were suggested which can be used to facilitate evaluation of liquid waste and optimal control process. The equations

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Publication Date
Wed May 22 2024
Journal Name
Journal Of Angiotherapy
Immune Cytokines IFN-γ, TGF-β, TNF-α, and IL-1β Modulate the Pathophysiological Markers in Idiopathic Parkinson’s Disease
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Background: Parkinson's disease (PD) is a neurodegenerative aging disease, with idiopathic PD being most common. Gastrointestinal tract disorders (GITD) and microbiota changes may trigger idiopathic PD. Neurotoxins from microbiota can travel from the gut to the brain via the brain-gut axis (BGA), leading to α-syn protein misfolding and dopaminergic neuron death. Methods: The aim of the current study was to investigate the link between PD and GITD by measuring several biochemical and immunological markers in 142 patients. The biochemical markers measured were vitamins B6, B12, and D, calcium, serotonin, ghrelin, dopamine, and α-syn protein. The immunological markers included transforming growth factor-beta (TGF-β), tu

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Publication Date
Tue Jun 30 2015
Journal Name
Iraqi Journal Of Biotechnology
The Hypoglycemic and Hypolipidemic Activity of Aqueous Green Tea Extract in Normal and Alloxan Induced Diabetic Male Albino Rats
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This study was designed to investigate the hypoglycemic and hypolipidemic activity of aqueous green tea (GT) extract in normal and alloxan-induced diabetic rats. Forty adult male albino rats weighing 180-200 g were divided into four groups of 10 rats each: The first group was served as control; the second group was treated with GT (250 mg/kg b.w); the third group was affected by inducing experimental diabetes by intraperitonial injection of alloxan (150 mg/kg b.w); and the fourth group was affected by inducing diabetes and treated with GT (250 mg/kg b.w). Level of blood glucose and lipid profile [total cholesterol (TC), triglycerides (TG), high-density lipoprotein cholesterol (HDL-C), low density lipoprotein cholesterol (LDL-C) and ve

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Publication Date
Fri Feb 08 2019
Journal Name
Journal Of The College Of Education For Women
Rightness in Evalating Basra and Kufa’s Views in The Work Of Al _ Anbary, Al - Insaf Fi Masael Al - Khilaf
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This paper deals with the Kufis and basris agreements in Abo Al _ Barakat Al _ anbary’s
work “ Al- Insaf Fi Masael Al - Khilaf.It attempts to settle the disputes and find out the right
views.
The book presents the issnes that the two schools of Kufa and Basra dispute upon and try to
evaluate them so as to support the correct ones .The present researcher has noticed that the
author of the above work was not always right or accurate in picturing a number of issues as
disputable whereas they implicitly shared the same views .Accordingly ,this papor sheds light
on such cases and drew acadernic researchers, attention to the invalidity of Al –anbary’s
misjudged views.

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