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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 Nov 01 2023
Journal Name
Clinical Epidemiology And Global Health
The association of interleukin-10 single nucleotide polymorphisms (rs1800871) and serum levels in Iraqi patients with celiac disease: A case-control study
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Publication Date
Mon Feb 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
Evaluation of real estate investment projects with framework theory of real options: A case study in the shopping center project (Baghdad Mall)
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Focused research aims to provide a framework cognitive analytical nature of real estate investments and how they evaluated in the light of the assessment tools of modern theory of real options, and the possibility to rely on that theory in the detection of the true value of projects, real estate investments that would maximize the value of the investment decision taken, and the analysis of those projects that arise in the real estate markets and environments is the organization, which she was to make sure cases and high-risk, compared with entrances techniques, discounted cash flow (net present value). Based on the assumption lies in the possibility of the application of the implic

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Publication Date
Mon Aug 08 2022
Journal Name
Iop Conference Series: Earth And Environmental Science
Effect of Foliar Spray with Yeast Suspension and Foliartal Nutrient Solution on the Mineral Content of Tissue Lime Seedlings Citrus limon L.
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Abstract<p>This study was done in green house of college of Agricultural engineering sciences during the season 2019-2020 to study the effect of the foliar spray with yeast suspension, nutrition solution (Foliartal) and their interaction on some leaf nutrients contents of (<italic>citrus limon</italic> L.) lime seedling was produced from the tissue culture lab. Studied factors were three level (0,7 and 10) g.L<sup>-1</sup> and (0,3 and 5) ml.L<sup>-1</sup> of yeast suspension and foliartal nutrient respectively treatments were distributed in Randomized Completely Block Design (RCBD) with two replicates the test LSD used in order to compare between means at 0.05% pro</p> ... Show More
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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
Effect of Welded Joints Design on the Joint Strength During Statie and Dynamie Loading with Different Current and Type of Wire Welding
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The aim of this research is to study the effect of welded joint design (Butt joint and lap joint) on thejoint strength during tension and fatigue loading with different current of welding (40,50,60,70,80) ^per, and different type of wire welding. The result of this research is showed that the effect of fatigue loading on the type of joint is more than the effect of tension loading on it. And the butt joint welding is better than the lap joint welding during the fatigue loaded.The experimental results of the effect of W'elding current showed that more increasing and more decreasing the value of the heat input, during the welding was found to produce mechanical brittleness on the buttjoint welding during the static and dynamic loading. Also i

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Publication Date
Thu Jun 25 2020
Journal Name
International Journal Of Drug Delivery Technology
The Effects of Salvia officinalis Gel as an Adjunct to Scaling and Root Planning in Patients with Periodontitis (Clinical and Immunological Study)
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Background: Phytotherapy is the usage of herbal species with medicinal properties for the management of various diseases. Gingivitis and periodontitis are diseases that involve the role of both the bacteria and the host immune response. Over the years, various researches have shown the importance of herbal products in the management of periodontal diseases. Aims of the study: To evaluate the efficacy of locally applied Salvia officinalis gel as adjunctive in the treatment of chronic periodontitis. Subjects and methods: Fourteen patients (10 males and 4 females) with chronic periodontitis were enrolled in the present study with total number of twenty-eight periodontal pockets utilizing a split mouth design, the pockets were divided i

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Publication Date
Fri Apr 24 2015
Journal Name
Plos One
Environmental Response and Genomic Regions Correlated with Rice Root Growth and Yield under Drought in the OryzaSNP Panel across Multiple Study Systems
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Publication Date
Fri Dec 01 2017
Journal Name
International Journal Of Chemtech Research
The Effect of Ginger Plant (Zingiber officinale) Aqueous Extract on Function and Histological Structure of Kidney in Mice Treated with Carbon Tetrachloride
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The percent work was designed to determine the effect of ginger plant aqueous extract on function and histological structure of kidney in mice treated with carbon tetrachloride (CCl4). Ginger plant caused a protective effect against CCl4 induced kidney damage and improved the kidney weight and biochemical parameters including urea, uric acid and creatinine. The ginger plant has a protective effect against injury in the kidney of mice treated with CCL4, because the ginger plant protects the tissues of kidney from toxic effect of CCL4. The kidney of CCL4 treated mice showed many histological alterations in the kidney included: atrophy, vascular degeneration and hemorrhage, death cell, degeneration of epithelial cells, destruction of basement

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Publication Date
Sun Jan 02 2011
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Relation-ships of neonatal septicemia with the mean serum levels of IL-8 and IL-1 in three large hospitals in Baghdad
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Publication Date
Tue Jan 01 2019
Journal Name
Biochemical & Cellular Archives
Assessment of uric acid in patients of end-stage renal disease with hypertension and diabetic nephropathy and the risk of cardiovascular diseases
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The relationship of hyperuricemia to kidney disease, diabetes, hypertension and the risk of cardiovascular diseases remain controversial. The aim of this study is to evaluate the use of uric acid (UA) levels to find the higher risk of cardiovascular disease (CVD) in patients with end stage renal disease that have diabetic nephropathy (DN), nephropathy with hypertension (NH) and patients with both diabetic nephropathy with hypertension (DNH). This study deals with 115 patients with end-stage renal disease under hemodialysis sub-grouped into 35 patients with (DN), 40 patients with (NH), and 40 patients with (DNH). Some biochemical parameters were determined in the serum of all participants such as HbA1c, fasting blood glucose (FBG), UA, urea,

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Publication Date
Sat Jan 01 2022
Journal Name
Applied Ecology And Environmental Research
EFFECT OF SPRAYING WITH FOLIC ACID AND YEAST EXTRACT ON THE GROWTH, YIELD AND CALCIUM OXALATE CONCENTRATION OF SPINACH (SPINACIA OLERACEA L.)
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