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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 Apr 12 2019
Journal Name
Journal Of Economics And Administrative Sciences
Measuring the speed of response of the exported quantity of crude oil to the increase in its prices using the model Impulse Response Functions (IRF) (Iraq case study) for the period (1978-2017)
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Abstract

     Oil is considered a commodity and is still an important and prominent role in drawing and shaping the Iraqi economic scene. The revenues generated from the export of oil are considered the main source of the general budget in cash flows.  

     Since the revenues consist of quantity and price and the latter is an external factor which is difficult to predict, The effect of any commodity on its price, which is proven in the theory of micro-economic, but it is observed through the research that the response is slow, which means not to take advantage of the rise in prices, by increasing the quantity exported, the result of several facto

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Publication Date
Tue Jul 16 2024
Journal Name
Experimental Parasitology
Relationship between the serum level, polymorphism and gene expression of IL-33 in samples of recurrent miscarriage Iraqi women infected with toxoplasmosis
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Publication Date
Sun Jan 01 2017
Journal Name
Biochemical And Cellular Archives
Response of red cabbage to the adding wheat peatand spraying with its extract and organic nutrient vegeamino on qualitative characteristics of heads
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Publication Date
Thu Jun 15 2017
Journal Name
Journal Of Baghdad College Of Dentistry
Effects of Two Different Colorant Solutions on the Color Stability of Bleached Enamel in Association with CPP-ACPF: An In Vitro Study
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Background: One of the drawbacks of vital teeth bleaching is color stability. The aim of the present study was to evaluate the effects of tea and tomato sauce on the color stability of bleached enamel in association with the application of MI Paste Plus (CPP-ACPF). Materials and Methods: Sixty enamel samples were bleached with 10% carbamide peroxide for two weeks then divided into three groups (A, B and C) of 20 samples each. After bleaching, the samples of each group were subdivided into two subgroups (n=10). While subgroups A1, B1 and C1 were kept in distilled water, A2, B2, and C2 were treated with MI Paste Plus. Then, the samples were immersed in different solutions as follow: A1 and A2 in distilled water (control); B1 and B2 in black

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Publication Date
Tue Feb 01 2022
Journal Name
International Journal Of Nanoscience
Study of the Transition State of SnO<sub>2</sub> Cluster with NO<sub>2</sub> Gas Molecule via Density Functional Theory
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Density functional theory (DFT) with B3LYP level and 6-311G[Formula: see text] basis sets for light atoms like N and O and SDD basis sets for heavy atoms like Sn is used to examine the interaction of tin dioxide nanocrystals with nitrogen dioxide as a function of temperature from 273[Formula: see text]K to 373[Formula: see text]K through a Gaussian 09W software program. Gibbs free energy, enthalpy, and entropy of activation and reaction are calculated. The situation of transition of SnO2 clusters toward nitrogen dioxide is investigated. According to the findings, the activation energy of SnO2 clusters with nitrogen dioxide increases as the temperature rises (in negative value). Gauss view 0

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Publication Date
Tue Mar 01 2022
Journal Name
Experimental Parasitology
The association of IL-3, IL-17A, and IL 27 serum levels with susceptibility to toxoplasmosis in recurrent abortion of Iraqi women
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Cytokines are a group of immunomodulatory proteins leading to a variety of immune reactions in the human; these cytokines play a significant role in the development of appropriate immune responses against T. gondii. This study aims to reveal the association of toxoplasmosis with serum levels of IL-3, IL-17A, and IL-27 in aborted women. The blood samples of patients and controls were collected from Al-Alawiya Maternity Teaching Hospital/Baghdad/Iraq from 2019 to 2020 for detecting anti-T. gondii antibodies (IgG and IgM) and the level of interleukins by ELISA. The results of TORCH by rapid test for recurrent abortion recorded 25.3% seropositive for anti-Toxoplasma antibodies, and 31.5% seropositive for one or more cases of TORCH test (Cytomeg

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Publication Date
Mon Sep 01 2025
Journal Name
Continence
Does the presence of Fowler's syndrome predicts successful long-term outcome of sacral nerve stimulation in women with non-obstructive urinary retention?
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Publication Date
Thu Jul 02 2020
Journal Name
International Journal Of Pharmaceutical Research
The Correlation of TGF-ß Level and GARP Gene Expression in Iraqi Patients with Rheumatoid Arthritis Treated By Biological and Chemo-Therapy
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Publication Date
Fri Sep 01 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis, Characterization and Studying the Enzyme Activity of New Benzothiazole Schiff Base Ligand (HL) and Its Complexes with Some of Metal Ions
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Publication Date
Thu Oct 01 2009
Journal Name
Saudi Med J
The frequency of 21-alpha hydroxylase enzyme deficiency and related sex hormones in Iraqi healthy male subjects versus patients with acne vulgaris
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KE Sharquie, AA Noaimi, BO Saleh, ZN Anbar…, Saudi Med J, 2009 - Cited by 13

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