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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
Sun Jun 02 2019
Journal Name
Journal Of The College Of Languages
הנאום הדתי של האינטרטקסטואליות התנ''כית ביצירותיו של אברהם רגלסון סיפורים נבחרים מקובץ "בית הניצוץ" Religious Discourse of Biblical Intertextuality in Abraham Regelson Works: Selected Samples from the Collection "House of Brightness"
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Publication Date
Sat Oct 01 2022
Journal Name
Baghdad Science Journal
Absorption and Fluorescence Properties of 3,6-bis(5-bromothiophen-2-yl)-2,5-bis(2-ethylhexyl)-2,5-dihydropyrrolo[3,4-c]pyrrole-1,4-dione. A Covalent Fluorescence in Solution and in the Solid State
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In the cuurent article, the photophysical properties of 3,6-bis(5-bromothiophen-2-yl)-2,5-bis(2-ethylhexyl)-2,5-dihydropyrrolo[3,4-c]pyrrole-1,4-dione were investigated. The visible absorption bands at 527, 558 and 362 nm in propylene carbonate and the compound was found to be fluorescent in solution and in the plastic film with emission wavelengths between 550- 750 nm. The Stokes Shift of P.C., acetonitrile, diethyl ether, Tetrahydrofuran THF, cyclohexane, dibutyl ether, and dichloromethane DCM  are 734, 836, 668, 601, 601, 719, and 804 cm-1 in respectively. The Stokes Shift Δ was less in THF and cyclohexane, than the solvents, which indicates that the energy loss is less between the excitation and fluorescence states. The

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Publication Date
Sun Jan 01 2012
Journal Name
Diyala Agricultural Sciences Journal (dasj)
(OLIGO-X) the effect of salinity of irrigation water and magnetisation and soaking Alalascorbek acid and extracted sea Your protected agriculture. DALIA in germination and growth of seedlings seeds of hybrid option
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Publication Date
Thu Dec 15 2022
Journal Name
Journal Of Inorganic And Organometallic Polymers And Materials
Ultrasound-Assisted and One-Pot Synthesis of New Fe3O4/Mo-MOF Magnetic Nano Polymer as a Strong Antimicrobial Agent and Efficient Nanocatalyst in the Multicomponent Synthesis of Novel Pyrano[2,3-d]pyrimidines Derivatives
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Publication Date
Sun Mar 28 2021
Journal Name
Journal Of The College Of Education For Women
The Effectiveness of a Structural Theory- based Training Program in Enhancing Arabic Language Teachers’ Teaching Practices and their Tendencies towards Structural Teaching: مريم بنت حسن البلوشي، ريا بنت سالم المنذري، علي مهدي كاظم
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The study aims to identify the effectiveness of a structural theory-based training program in enhancing the teaching practices of Arabic language teachers teaching grade ten in South Al Batinah in Sultanate of Oman. The study used the quasi-experimental design, and the sample consisted of 40 male and female teachers. To achieve the objectives of the study, a training program, an observation form and a measurement tool of teachers’ tendencies towards a structural teaching were made. The program was implemented with an experimental group of 20 female and male teachers in the first semester of the academic year 2018/2019. The study has found that there is a statistically significant difference between the average grades before and after i

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Publication Date
Mon Oct 04 2923
Journal Name
Journal Of Sustainable Studies
Enantiosemy in a Comparative Aspect: On the Material of Modern Russian and Arabic Languages Энантиосемия в сравнительном аспекте: На материале современного русского и арабского языков التضاد - دراسة مقارنة : اللغات الروسية والعربية الحذيثة أنمورجا
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This work is devoted to a comparative study of the phenomenon of enantiosemy in Russian and Arabic.Everyone knows the term antonyms - words of the same part of speech, opposite in meaning, such as: Day and night, white and black, truth and lies. But in Russian, Arabic and other languages there is an interesting phenomenon, which consists in the fact that one word has two opposite meanings. Such a phenomenon in linguistics is called enantiosemy (from the Greek words enantios - "opposite" and sema - "sign")

Publication Date
Tue Jul 11 2023
Journal Name
Journal Of Educational And Psychological Researches
Future Teachers' Attitudes Towards Cloud Computing in the Kingdom of Saudi Arabia: Assistant Professor of Education Techniques, Department of Curriculum and Teaching Techniques Faculty of Education and Literature, Northern Border University Saudi Arabia
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The research aims to identify the future teachers' attitudes toward cloud computing in the Kingdom of Saudi Arabia from their point of view. The research adopted the descriptive approach, and a questionnaire was applied to a random sample of (370) male and female teachers in governmental and private general education schools in the Al-Jouf region, Saudi Arabia. The results of the research concluded that the reality of future teachers' attitudes towards cloud computing in the Kingdom of Saudi Arabia from their point of view is very high and that most areas of using computing are in the field of assessment, then teaching, and activities. The challenges of future teachers' attitudes toward cloud computing are recorded at a high level, parti

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Publication Date
Sun May 02 2021
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Application of banking institutions' governance variables and their impact on financial performance as measured by (ROA & ROE): an applied study on a sample of local Islamic banks listed on the Iraq Stock Exchange
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The research seeks to achieve its goal of demonstrating the impact of applying banking governance variables on the financial performance of Islamic banks, and the independent research variables are represented by (X) by (the number of independent members in the board (X1), the number of directors in the board (X2), the number of committees emanating from the board ( X3), the percentage of shares owned by major shareholders in the board (X4), the number of members of the Sharia supervisory board (X5)), and the dependent variable (Y) is represented by (rate of return on assets (Y1), rate of return on equity (Y2)).

The research sample included (4) Islamic banks, namely (Iraqi Islamic Bank, National Islamic Bank, Jihan Islamic Bank,

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Publication Date
Wed May 01 2024
Journal Name
Journal Of Physics: Conference Series
Analyze the Structure and Electrical Properties of PbBr<sub>2</sub> Ca<sub>1.9</sub>Sb<sub>0.1</sub>Cu<sub>3</sub>O<sub>8+</sub> <sub>δ</sub> Superconducting Gamma Irradiation
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The purpose of the current work was to evaluate the effect of Radiation of Gamma on the superconducting characteristics of the compound PbBr2Ca1.9Sb0.1Cu3O8+δ utilizing a 137Cs source at doses of 10, 15, and 20MRad. Solid state reaction technology was used to prepare the samples. Before and after irradiation, X-ray diffraction (XRD) and superconductor properties were examined. Results indicated that the tetragonal structure of our chemical corresponds to the Pb-1223 phase with an increase in the ratio c/a as a result of gamma irradiation. (Tc (onset) ) and on set temperature Tc (offset)) were also dropping from 113 to the 85.6 K and 129.5 to 97 K, respectively, for a transition temperatu

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Publication Date
Tue Nov 04 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Immunohistochemical expression of ICAM-1 and Cortactin as cell adhesive molecule and invasive markers in Hodgkin’s and non-Hodgkin’s lymphoma of the head and neck region (A comparative study)
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Background: Lymphomas are a group of diseases caused by malignant lymphocytes that accumulate in lymph nodes and cause the characteristic clinical features of lymphadenopathy. Intercellular adhesion molecule-1 (ICAM-1) (CD54) is a transmembrane glycoprotein belonging to the immunoglobulin superfamily of adhesion molecules. Cortactin was first identified as one of the major substrates for src kinase. because it localized to Cortical actin structures, The aims of this study was to evaluate and compare the immunohistochemical of ICAM-1 expression as cell adhesion molecule marker and Cortactin expression as invasive marker. Material and Methods: This study was performed on (68) formalin-fixed, paraffin-embedded blocks, histopathologically diagn

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