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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
Mon Jun 08 2026
Journal Name
Journal Of Physical Education
The effect of intense special exercises to rehabilitate second-degree external collateral ligament tear in young handball players
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Publication Date
Thu Jan 02 2020
Journal Name
Journal Of The College Of Languages (jcl)
The theory of distortion and eradication in modern Zionist Hebrew literature: תיאוריית העיוות והחיסול בספרות העברית הציונית החדשה
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This title may have something strange or paradoxical; it is unusual or natural to look for violence in literature, or that literature is a tool for killing through the contribution of writers and poets in generating, feeding or advocating violence. The Zionist literature belongs to the 20th century, is almost the only literature among the etiquette of peoples, which professes racism and boasts of betraying its human role, and wants to be a vehicle for terrorism domination. It also tends to be a means in the hands of killers and adventurers.   Writers of this Literature show that no solution to the Jewish problem is only by Zionist presence to replace the Palestinian presence and to build the state of "Israel" on the ruins of Pa

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Publication Date
Fri Jan 01 2016
Journal Name
Journal Of The College Of Languages (jcl)
Das Drama ( Minna von Barnhelm) von Lessing Eine analytische Studie Vorgelegt von The play of Minna von Barnhelm
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Zusammenfassung: Das Drama " Minna von Barnhelm von Lessing ist ein weltbekannts Drama, das in verschiedene Sprachen übersetzt wurde. Es beschreibt die Schwierigkeiten eines Offiziers, der bestraft wurde. Er verlor seinen Job und auch seine Ehre. Minna ist seine Verlobte, die ihn suchte und auch neben ihm stehen wollte. Trotzdem sie ihm in einem Hotel zufällig begegnete, hatten die beide immer noch Probleme. Am Ende des Dramas könnten sie alle ihrer Probleme lösen und hatten schönes Ende.

 

Abstract:
Mina von Barnhelm is a German play written by the author ( Lessing ) , it's a well-known comedy play that was translated into many languages including Arabic language .
This play is about a

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Publication Date
Tue Oct 01 2024
Journal Name
Journal Of Physics: Conference Series
An Effect of Al on the Properties of ZnIn<sub>2</sub>Se<sub>4</sub> Thin Film
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Abstract<p>Zinc-indium-selenide ZnIn<sub>2</sub>Se<sub>4</sub> (ZIS) ternary chalcopyrite thin film on glass with a 500 nm thickness was fabricated by using the thermal evaporation system with a pressure of approximately 2.5×10<sup>−5</sup> mbar and a deposition rate of 12 Å/s. The effect of aluminum (Al) doping with 0.02 and 0.04 ratios on the structural and optical properties of film was examined. The utilization of X-ray diffraction (XRD) was employed to showcase the influence of aluminum doping on structural properties. XRD shows that thin ZIS-pure, Al-doped films at RT are polycrystalline with tetragonal structure and preferred (112) orientation. Where the </p> ... Show More
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Publication Date
Mon Jun 08 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Histological evaluation of the effect of topical application of Curcumin powder and essential oil on skin wound healing
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Background: Herbal medicine can be called one of the branches of medicine in various forms. Turmericcurcumin has proved its efficiencies a coloring, flavoring agent and has been traditionally used in medicine, exhibiting remarkable anti-inflammatory and antioxidant properties. The varied biological properties of curcumin and lack of toxicity even when administered at higher doses makes it attractive to explore its use in various disorders like diseases of skin. It is good potential agent for wound healing. Materials and methods: Sixty four new Zealand rabbits were used in this study ,they were divided into four groups,each group was subdivided as follows:Experimental groups(8 rabbits) right facial side of animals for essential oil applicati

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Publication Date
Mon Dec 01 2025
Journal Name
Journal Of Economics And Administrative Sciences
Analysis of the Role of Agricultural Investment Policies and Agricultural Lending in Developing Commodity Production of Rice Crops
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This study investigates the impact of agricultural investment policy—represented by agricultural loans and investment allocations—on rice crop production in Iraq over the period 2003–2023, employing the Autoregressive Distributed Lag (ARDL) model. Using time-series econometric analysis, the study confirms a short-term positive and statistically significant effect of financial support on rice output, while revealing statistically insignificant long-term effects. The presence of a cointegration relationship suggests long-term equilibrium between agricultural policy variables and rice production. However, the absence of causality in the Yamamoto-Toda test implies that structural and institutional inefficiencies may dilute the long-term i

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Publication Date
Sun Jun 02 2013
Journal Name
Baghdad Science Journal
Some Probability Characteristics Functions of the Solution of Stochastic Fredholm Integral Equation Contains a Known Sine Wave Function
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Abstract:In this paper, some probability characteristics functions (moments, variances,convariance, and spectral density functions) are found depending upon the smallestvariance of the solution of some stochastic Fredholm integral equation contains as aknown function, the sine wave function

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Publication Date
Thu Dec 15 2022
Journal Name
Journal Of Baghdad College Of Dentistry
Experimental In vitro Study to Assess the Antibacte-rial Activity of Thymus vulgaris Oil on Streptococ-cus Sanguinis
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Background: The Streptococcus genus are the predominant bacteria in the mouth and the Streptococcus sanguinis is one of them which performing a primary function for expansion of dental biofilm. Gingival and periodontal disorders are caused by dental biofilm, today, there is a necessity to discover naturally presenting antibacterial compounds from herbs with less side effects as a substitutive to the commonly handled chlorohexidine. Thus, the purpose of this study was to assess the antibacterial activity of thymus vulgaris oil on Streptococcus sanguinis bacteria In vitro. Materials and Methods: Human supragingival plaque samples were taken from 10 subjects, then morphological and microscopical examination, bioch

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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
“Impress of rotation and an inclined MHD on waveform motion of the non-Newtonian fluid through porous canal”
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Abstract<p>Waveform flow of non-Newtonian fluid through a porous medium of the non-symmetric sloping canal under the effect of rotation and magnetic force, which has applied by the inclined way, have studied analytically and computed numerically. Slip boundary conditions on velocity distribution and stream function are used. We have taken the influence of heat and mass transfer in the consideration in our study. We carried out the mathematical model by using the presumption of low Reynolds number and small wave number. The resulting equations of motion, which are representing by the velocity profile and stream function distribution, solved by using the method of a domain decomposition analysis a</p> ... Show More
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Publication Date
Fri Feb 08 2019
Journal Name
Iraqi Journal Of Laser
Effect of Laser Surface Modification on the Corrosion Resistance of Dental Alloys in Artificial Saliva Containing Alcoholic Beverages
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The objective of this study is to demonstrate the corrosion behavior of dental alloys Co-Cr-Mo, Ni-Cr-Mo and Ti-Al-V in artificial saliva at pH=4 and 37oC enriched with ethyl alcohol at 8% percentage. The linear and cyclic polarizations were investigated by electrochemical measurements. Laser surface modification was achieved for the three dental alloys to improve corrosion resistance. The results show that corrosion resistance of Co-Cr-Mo and Ni-Cr-Mo alloys only were increased after laser treatment due to the fact that laser radiation has caused a smoother surface, in addition to the decrement in corrosion current densities (icorr) for Co-Cr-Mo and Ni-Cr-Mo alloys and the reverse scan in cyclic polarization became in the wider range of

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