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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 Mar 30 2016
Journal Name
College Of Islamic Sciences
Ibn Al Anbari grammatical inferences On   Abu Hatim al-Sijistani through his book Clarify the stay and start
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Ibn al-Anbari, however, turned to Abu Hatim al-Sijistani in eleven places of his book ((clarify the endowment and start)). The study showed that the right and right was with the son of Anbari and that what went to Sistani saying uniqueness, and contrary to the vast majority of scientists. The study also showed that the science of grammar affects the endowment and initiation, as the study showed that the science of endowment and initiation is one of the important sciences of the Koran, which must be carefully received, researchers.

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Publication Date
Thu Dec 13 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of the Major Anti-Tuberculosis Drugs Available to Patients at Primary Health Care Centers in Baghdad City
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Objective: To assess the major anti-tuberculosis drugs available to patients at primary health care centers in Baghdad city. Methodology: A descriptive cross-sectional study design is carried out in order to achieve the objectives of the study by using the assessment technique in primary health care centers from December 29th, 2014 to July 10 th, 2015. probability sampling is select based on the study design. Eighteen primary health care centers are select according to criteria of sample to the study and for the purpose of the study, is select (6) sectors and (11) Primary Health Care Centers (PHCC) from Bagh

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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Engineering
Study the Effect of Catalyst -to- Oil Ratio Parameter (COR) on Catalytic Cracking of Heavy Vacuum Gas Oil
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This work deals with the production of light fuel cuts of (gasoline, kerosene and gas oil) by catalytic cracking treatment of secondary product mater (heavy vacuum gas oil) which was produced from the vacuum distillation unit in any petroleum refinery. The objective of this research was to study the effect of the catalyst -to- oil ratio parameter on catalytic cracking process of heavy vacuum gas oil feed at constant temperature (450 °C). The first step of this treatment was, catalytic cracking of this material by constructed batch reactor occupied with auxiliary control devices, at selective range of the catalyst –to- oil ratio parameter (  2, 2.5, 3 and 3.5) respectively.  The conversion of heavy vacuum gas

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Publication Date
Fri Dec 31 2021
Journal Name
Political Sciences Journal
Alternative Perspectives in Explaining the Conduct of US Foreign Policy: A Historical-Critical View of Decision-Making Models
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Receipt date:2/17/2021 acceptance date:3/16/2021 Publishing date:12/31/2021

Creative Commons LicenseThis work is licensed under a Creative Commons Attribution 4.0 International License.

Objective: This paper investigates the contradictions in the decision-making process of the United States, which historically proven to be successful policies in the short term, but in the long term proven to be wanting and failure. Methodology: The paper uses descriptive, historical, comparative method. A

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Publication Date
Sun Jun 23 2024
Journal Name
Asee Annual Conference And Exposition
Undergraduate Research Impact on Students' Retention and Academic Development Based on Their Study Field and the Mentoring Approach
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The impact of undergraduate research experiences on students' academic development and retention in STEM fields is significant. Students' success in STEM fields is based on developing strong research and critical thinking skills that make it essential for students to engage in research activities throughout their academic programs. This work evaluates the effectiveness of undergraduate research experiences with respect to its influence on student retention and academic development. The cases presented are based on years of experience implementing undergraduate research programs in various STEM fields at Colorado State University Pueblo (CSU Pueblo) funded by HSI STEM Grants. The study seeks to establish a correlation between students' reten

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Publication Date
Sun Aug 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
Influence of Determinants of Investor Behavior in Making Investment Decision “Research Applied in the Market Iraq Stock Exchange"
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The investment decision, a critical decision for each investor as it involves risks and uncertain returns, so investors should avoid cases of uncertainty associated with the final decisions they are involved, and the problem of research in individual differences and differences in the behavior of individual investors and reflect the impact of this investment decision in the Iraqi market for securities. Therefore, the research aims to understand and analyze the impact of determinants of investor behavior as an independent variable in investment decision-making as a dependent variable in the Iraqi market for securities, and the research started from two main hypotheses to explore the influence and correlation between research varia

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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Engineering
Comparison the Physical and Mechanical Properties of Composite Materials (Al /SiC and Al/ B4C) Produced by Powder Technology
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In this investigation, metal matrix composites (MMCs) were manufactured by using powder technology. Aluminum 6061 is reinforced with two different ceramics particles (SiC and B4C) with different volume fractions as (3, 6, 9 and 12 wt. %). The most important applications of particulate reinforcement of aluminum matrix are: Pistons, Connecting rods etc. The specimens were prepared by using aluminum powder with 150 µm in particle size and SiC, B4C powder with 200 µm in particle size. The chosen powders were mixed by using planetary mixing setup at 250 rpm for 4hr.with zinc stearate as an activator material in steel ball milling. After mixing process the powders were compacted by hydraulic

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Publication Date
Sun Mar 15 2020
Journal Name
Al-academy
Media Coverage of Yazidi Women in the Iraqi Press Analytical Study in Al-Mada Newspaper: غادة حسين العاملي
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This research reveals the treatment mechanisms followed in the media for covering the topic of displacement and captivity of Yazidi in the Iraqi press, through studying all the publishing in one of the Iraqi newspapers concerning the research subject. The research problem is in the following questions:

  • What are the journalistic arts that are tackled by the newspaper concerning the subject of the Yazidi women?
  • What are the editing forms for the model of the press subjects that have been employed about the event and what are its sources?
  • What are the highlighting means used in presenting the subjects within the journalistic arts?
  • What are the i

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Publication Date
Sun Jan 01 2023
Journal Name
Dental Hypotheses
Assessment of the Salivary Level of Malondialdehyde in Localized Periodontitis Versus Generalized Periodontitis: An Analytical Cross-Sectional Study
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Publication Date
Wed Sep 21 2022
Journal Name
Journal Of Planner And Development
Evaluating the Potentials of Individual Lending Instructions (in Housing Fund Law) to Support Housing Finance Policies in Iraq.
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Iraqi economy has grown rapidly. Iraqi citizen, therefore, should be very much involved with the comprehensive development after his long patience. Such development should begin with him and his family to get the housing commodity, which is indeed not a cheap one.                                                          

  In this regard, the Iraqi legislator drew attention to the necessity of issuing housing finan

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