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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions
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Background This study establishes a mathematically consistent and computational framework for the simultaneous identification of two time-dependent coefficients in a one-dimensional second-order parabolic partial differential equation. The considered problem is governed by nonlocal initial, boundary, and integral overdetermination conditions. Methods The direct problem is solved using the Crank-Nicolson finite difference method (FDM), which ensures unconditional stability and second-order accuracy in both spatial and temporal discretizations. The corresponding inverse problem is reformulated as a nonlinear regularized least-squares optimization problem and efficiently solved used the MATLAB subroutine lsqnonlin from the optimization Toolbox. Due to the intrinsic, ill-posedness of the inverse formulation, small input data errors lead to big output errors. Then, Tikhonov regularization, is employed to enhance numerical stability and robustness. Results Extensive numerical experiments are carried out under exact and noisy data to evaluate the numerical accuracy and convergence behavior of the method. The results confirm that the regularization technique effectively damps numerical oscillations, minimizes reconstruction error, and ensures reliable recovery of the unknown coefficients. Sensitivity analysis further reveals the essential role of the regularization parameter in controlling the trade-off between stability and accuracy. Conclusions The proposed approach provides an accurate and computationally efficient tool for IP in heat transfer, diffusion processes, and related applied sciences.

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Publication Date
Wed Jan 01 2020
Journal Name
Says Rev Pharm
Healing of apical periodontitis after minimally invasive endodontics therapy using Er,Cr:YSGG laser: A prospective clinical study
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Publication Date
Fri Mar 20 2020
Journal Name
Journal Of Xi'an University Of Architecture & Technology
Academic Laboratory Skills For Chemistry Students at the College of Education For Pure Sciences -Ibn Al Haitham
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The current research aims to find out the extent to which students of the Faculty of Education for Pure Sciences\/Ibn al-Haitham have owned laboratory academic skills, the researcher adopted a descriptive research approach to conform to the goal of the research, the research sample the consisted of 140 students from the Department of Chemistry Phase II, The research tool, which consisted of a measure of laboratory academic skills, which consisted of seven skills and consisted of 28 paragraphs (four paragraphs per field), was prepared and the pent-up scale was chosen because the selected sample were university students, and the results showed the ownership of students' skills of laboratory academic skills other than skill The use of the libr

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Publication Date
Sun Mar 04 2018
Journal Name
Baghdad Science Journal
Using Texture Analysis Image Processing Technique to Study the Effect of Microwave Plasma on the Living Tissue
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The present study is a hybrid method of studying the effect of plasma on the living tissue by using the image processing technique. This research explains the effect of microwave plasma on the DNA cell using the comet score application, texture analysis image processing and the effect of microwave plasma on the liver using texture analysis image processing. The study was applied on the mice cells. The exposure to the plasma is done by dividing the mice for four groups, each group includes four mice (control group, 20, 50, 90 second exposure to microwave plasma). The exposure to microwave plasma was done with voltage 175v and gas flow on 2 with room temperature; the statistical features are obtained from the comet score images and the textur

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Publication Date
Fri Nov 01 2019
Journal Name
Lambert Academic Publishing
📖[PDF] The digital discourse of action video games de Nassier A. G. Al-Zubaidi eBook | Perlego
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Videogames are currently one of the most widespread means of digital communication and entertainment; their releases are attracting considerable interest with growing number of audience and revenues each year. Videogames are examined by a variety of disciplines and fields. Nevertheless, scholarly attention concerned with the discourse of videogames from a linguistic perspective is relatively scarce, especially from a pragma-stylistic standpoint. This book addresses this vital issue by providing a pragma-stylistic analysis of the digital discourse of two well-known action videogames (First Person Shooter Games). It explores the role of the digital discourse of action videogames in maintaining real-like interactivity between the game and the

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Publication Date
Tue Sep 11 2018
Journal Name
Iraqi Journal Of Physics
An experimental cross-section measurement of 10B(n,α)7Li reaction on counting alpha particles track density
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The present work determines the particle size based only on the number of tracks detected in a cluster created by a hot particle on the CR-39 solid state nuclear track detector and depending on the exposure time. The mathematical model of the cross section developed here gives the relationship between alpha particle emitting from the (n, α) reaction and the number of tracks created and distribution of tracks created on the surface of the track detector. In an experiment performed during this work, disc of boron compound (boric acid or sodium tetraborate) of different weights were prepared and exposed to thermal neutron from the source. Chemical etching is processes of path formation in the detector, during which a suitable etching solut

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Publication Date
Sat Sep 30 2017
Journal Name
College Of Islamic Sciences
Book of Musaka (by Imam Abu al-Qasim Abdul-Karim Muhammad ibn Abd al-Karim al-Rafii)
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Al-Aziz's book was chosen as a subject for research as it is one of the important books in the Islamic world in general and the Shafi'i school in particular and its author Imam Abdul Karim bin Mohammed bin Abdul Karim Al-Rafi's, who in the doctrine of the jurisprudence has made prominent lines and left behind invaluable scientific treasures in the service of religion. Its importance is summarized as follows:
1. Being an explanation of the book (brief) of the argument of Islam Imam Ghazali (God's mercy), one of the five books adopted in Shafi'i jurisprudence.
2. His work is Imam Abu al-Qasim al-Rafii known for the brilliance of the investigation and the power of weighting in the doctrine.
3. It is considered an encyclopedia in Sh

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Publication Date
Wed May 01 2019
Journal Name
Journal Of Engineering
Optimization of Friction Stir Welding Process Parameters to joint 7075-T6 Aluminium Alloy by Utilizing Taguchi Technique
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In this study, a 3 mm thickness 7075-T6 aluminium alloy sheet was used in the friction stir welding process. Using the design of experiment to reduce the number of experiments and to obtain the optimum friction stir welding parameters by utilizing Taguchi technique based on the ultimate tensile test results. Orthogonal array of L9 (33) was used based on three numbers of the parameters and three levels for each parameter, where shoulder-workpiece interference depth (0.20, 0.25, and 0.3) mm, pin geometry (cylindrical thread flat end, cylindrical thread with 3 flat round end, cylindrical thread round end), and thread pitch (0.8, 1, and 1.2) mm) this technique executed by Minitab 17 software. The results showed th

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Publication Date
Mon Mar 18 2019
Journal Name
Al-khwarizmi Engineering Journal
Best Level of Parameters for a Critical Buckling Load for Circular Thin- Walled Structure Subjected to Bending
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Circular thin walled structures have wide range of applications. This type of structure is generally exposed to different types of loads, but one of the most important types is a buckling. In this work, the phenomena of buckling was studied by using finite element analysis. The circular thin walled structure in this study is constructed from; cylindrical thin shell strengthen by longitudinal stringers, subjected to pure bending in one plane. In addition, Taguchi method was used to identify the optimum combination set of parameters for enhancement of the critical buckling load value, as well as to investigate the most effective parameter. The parameters that have been analyzed were; cylinder shell thickness, shape of stiffeners section an

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Publication Date
Fri Oct 03 2025
Journal Name
Lex Localis - Journal Of Local Self-government
MR. TALIB AL-RIFAI’S CONTRIBUTIONS TO ISLAMIC POLITICAL ACTIVISM BEFORE THE ESTABLISHMENT OF THE ISLAMIC DA‘WA PARTY
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Mr. Talib Al-Rifai embarked on his political journey at an early stage, engaging in Islamic activism at the age of twenty-two in 1953. During this period, he established strong connections with numerous figures and members affiliated with Sunni Islamic parties, which expanded his sphere of influence and social network. Despite his close interaction with these organizations, he was careful to maintain his independence and avoided formal affiliation with any specific party or organized movement. Al-Rifai distinguished himself by his ability to engage with diverse Islamic currents while maintaining his intellectual independence, which provided him with significant flexibility and enabled him to cultivate a broad network of relationshi

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Publication Date
Sun Dec 04 2016
Journal Name
Baghdad Science Journal
Effect of Soil Textural Classes on the Biological Nitrogen Fixation by Bradyrhizobium Measured by 15N Dilution Analysis
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The current study was conductedas a pot experiment to determine the effect of soil texture on biological nitrogen fixation (BNF) of six most efficient local isolates, specified, of Bradyrhizobium. Cowpea (Vignaunguiculata L.), as a legume host crop, was used as a host crop and 15N dilution analysis was used for accurate determination of the amount of N biologically fixed under experimental parameters specified. Soils used are clay loam, sandy clay loam and sandy loam. Biological Nitrogen Fixation (BNF), in different soil textural classes, was as in the following order: medium texture soil > heavy texture soil > light textured soil. Statistical analysis showed that there is a significant variation in BNF % among six Iraqi isolates in the th

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