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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 Aug 13 2017
Journal Name
Iraqi Journal Of Agricultural Sciences
EFFECT OF SUPPLEMENTING DIFFERENT LEVELS OF CONJUGATED LINOLEIC ACID (CLA) TO THE DIET ON PRODUCTIVE PERFORMANCE OF BROILER CHICKEN
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This study was carried out at Poultry Research Station, State Board of Agricultural Research, Ministry of Agriculture for the period from 27 September 2014 to 9 November 2014 to evaluate the Supplementation of different levels of Conjugated Linoleic Acid (CLA) on productive performance of broiler. Four hundred eighty chicks (Ross-308),one day old were randomly distributed to four dietary treatments for 42 days of age with 3 replicates/vtreatment (40 bird/replicate). Experimental treatments were as follow; T1 (Control diet) without supplement, while the treatment T2,T3 and T4  were Supplemented with 1, 1.5, 2 g CLA /kg diet  respectively. The results showed significant (P ≤ 0.05) increased in mean of body weight, weight gain, ave

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Publication Date
Thu Nov 01 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Assessment of Nurses Implementation of Universal Precautions in the AIDS Wards of Ibn-Zuheir and Ibn- Al- Kahteeb Hospitals
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A descriptive study was conducted at two Epidemic Hospitals in Baghdad from 1st of August( 2003) to 1st of October (2004) in order to identify the nursing staff working in AIDS word to implementation of universal precautions for patients with AIDS and relation to some variable. The sample is consisted of (50) nurses who are working in AIDS ward in Ibn- Zuheir and Ibn- Al- Kahteeb Hospitals. Instruments consist of (20) items related with demographic characteristics of nurses and universal precautions items . Validity of the instrument was established through a panel of( 4) experts in specific fields . Descrip

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Publication Date
Wed Jan 01 2025
Journal Name
International Journal Of Sports, Exercise And Physical Education
The effect of compound exercises (Physical, Physiological) supported by polar m430 devices on developing explosive power in futsal players
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Publication Date
Tue Mar 03 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
A Study of Some Biochemical Variables and Functional Indicators and Their Relationship to the Achievement of 200m Young Runners
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ES Hussein

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Publication Date
Thu Jun 15 2017
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of the effect of preheating on micro leakage of Class II composites Restoration (A comparative in vitro study)
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Background: The aim of this in vitro study was to evaluate and compare the effect of preheating microleakage among three different filler size composites which include Filtektm Z250 micro hybrid, Z250xt Nano hybrid and nanocomposite Z350xt.  in Class II cavity preparation .

Materials and methods: sixty maxillary first premolars were prepared with class II cavities. Samples were divided into three groups according to material used    group A (FiltekZ250 micro hybrid). Group B(Z250xt Nano hybrid). Group C (nanocomposite Z350xt)and each group divided into two subgroups of ten teeth according to temperature of  composite:

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Publication Date
Wed Apr 01 2020
Journal Name
International Journal Of Psychosocial Rehabilitation
The effect of compound exercises in developing front and back stroke skills and some physiological indicators of badminton juniors
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The accuracy of the skillful performance of the front and back dimensions of badminton in volleyball, occurs through the investment of complex exercises (physical skills) in a single performance and its characteristics that give the correct movement behavior and speed to the accuracy of the performance of the strokes as well as the identification of changes in some physiological indicators of By using these compound exercises. The research problem lies: I found a weakness in the accuracy of the performance of the front and back dimensions strike and diagnosed this through the tests that it conducted on the players to identify and know the problem, and attributed this weakness to a weakness in the necessary physical and skill abilities and t

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Publication Date
Mon Dec 01 2008
Journal Name
Al-khwarizmi Engineering Journal
Effect of Chloride Ions on the Corrosion Behavior of Al – Zn Alloy in NaOH Solution at Four Different Temperatures
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This research involves study effect of chloride ions in concentration range (0.01 – 0.50 mol.dm-3) on the corrosion behavior of Al-Zn alloy in basic media of 1x10-3 mol.dm-3 NaOH at pH=11 and four different temperatures in the range (298-313 K). Cathodic and anodic Tafel slopes (bc &ba) and transfer coefficients (αc & αa) were calculated and the results interprets according to the variation of the rate – determining steps. The results also indicate that the chloride ions are bonded chemically in the interface as an initial step of formation of different mixed oxohydroxy – and chloro complexes. Polarization resistance (Rp) is calculates

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Publication Date
Fri Jun 05 2026
Journal Name
Journal Of Baghdad College Of Dentistry
An Evaluation the Effect of Alcohol Presence in Mouth Washes on Force Degradation of Different Configurations of Elastomeric Chains
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Background: Elastomeric chains are one of the most commonly used force delivery systems. They have the ability to exert a continuous force, convenience of use, compatibility to oral environment and cost effectiveness but one of the inherited disadvantages is force degradation. Materials and methods: This in vitro study was designed to evaluate the effect of alcohol presence in mouthwashes on force decay of different configurations of clear elastomeric chains from (Ortho Technology company) which are: closed , short and long under the effect of time at (Initial, 1, 2, 3 and 4 weeks) intervals with exposure to different chemical solutions. A total (540) modules of elastomeric chains of three different types (long, short and closed) trans

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Publication Date
Fri Jun 05 2026
Journal Name
Mustansiriya Medical Journal
The Pattern Of Skin Diseases Among Kindergarten Children In Baghdad. A Comparative Study Between Two Surveys Five Years Apart
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Publication Date
Fri Jun 28 2024
Journal Name
Medicine
The radio anatomical arrangement of nerve roots at L3 level in cauda equina sac is it affected by diseases?
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An observational study to discover the common conditions affecting the lumbosacral region that may affect lumbosacral position and tension. All the patients, underwent MRI exaamination (magnetic resonance imaging) in the supine position, were examined by the same consultant radiologist. The article was revised by the institutional ethical approval committee. The position of the nerve roots was observed, and the number of nerve roots was calculated anterior to a line passing between the mid-transvers process of L3(third lumbar vertebra). The number of nerve roots ahead of this line was calculated by the radiologist at the level of the right intervertebral foramen and at the left one. This procedure was applied to the normal group, an

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