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bsj-4619
Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
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In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classification (2010):  45P05, 45G10, 47H99

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Mathematical model of optical amplifier using nonlinear stimulated Brillouin scattering (SBS) in optical fiber
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We demonstrate the results of a mathematical model for investigation the nonlinear Stimulated Brillouin Scattering (SBS), which can be employed to achieve high optical amplifier. The SBS is created by interaction between the incident We demonstrate the results of a mathematical model for investigation the nonlinear Stimulated Brillouin Scattering (SBS), which can be employed to achieve high optical amplifier. The SBS is created by interaction between the incident light and the acoustic vibration fiber. The design criteria and the amplification characteristic of the Brillouin amplifier is demonstrated and discussed for fiber Brillouin amplifier using different pump power with different fiber length. The results show, high Brillouin gain can

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Publication Date
Thu Oct 20 2016
Journal Name
Sociological Methods & Research
Mean Monte Carlo Finite Difference Method for Random Sampling of a Nonlinear Epidemic System
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In this article, a numerical method integrated with statistical data simulation technique is introduced to solve a nonlinear system of ordinary differential equations with multiple random variable coefficients. The utilization of Monte Carlo simulation with central divided difference formula of finite difference (FD) method is repeated n times to simulate values of the variable coefficients as random sampling instead being limited as real values with respect to time. The mean of the n final solutions via this integrated technique, named in short as mean Monte Carlo finite difference (MMCFD) method, represents the final solution of the system. This method is proposed for the first time to calculate the numerical solution obtained fo

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Publication Date
Sun Mar 01 2026
Journal Name
Case Studies In Thermal Engineering
Dynamic thermal modelling of energy storage unit based on PCM under single or two-phase flow conditions
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Phase change materials are extensively studied for use in low-, mid-, and high-temperature applications due to their melting and solidification temperatures, latent heat, and thermophysical properties. This work aims to explore the energy stored, or released and their duration for the energy storage unit formed of a phase change material surrounding a tube within which a hot or cold, single or Two-Phase fluid flows, serving as a heat source or sink. The 3D axial transient thermal analysis of the energy storage unit is performed using the finite element method via a MATLAB-developed computer program. The effects of single- or Two-Phase fluid flow on temperature distribution, solidification, melting duration, and energy stored within phase ch

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Publication Date
Thu Feb 29 2024
Journal Name
Iraqi Journal Of Science
Finding the Exact Solution of Kepler’s Equation for an Elliptical Satellite Orbit Using the First Kind Bessel Function
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     In this study, the first kind Bessel function was used to solve Kepler equation for an elliptical orbiting satellite. It is a classical method that gives a direct solution for calculation of the eccentric anomaly. It was solved for one period from (M=0-360)° with an eccentricity of (e=0-1) and the number of terms from (N=1-10). Also, the error in the representation of the first kind Bessel function was calculated. The results indicated that for eccentricity of (0.1-0.4) and (N = 1-10), the values of eccentric anomaly gave a good result as compared with the exact solution. Besides, the obtained eccentric anomaly values were unaffected by increasing the number of terms (N = 6-10) for eccentricities (0.8 and 0.9). The Bessel

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Publication Date
Sat Dec 01 2018
Journal Name
مجلة جامعة الانبار للعلوم البدنیة والریاضیة
أثر استخدام ثلاث أسالیب علاجیة للتعلم من أجل التمکن فی تعلم سلسلة حرکیة على جهاز العقلة فی الجمناستک الفنی
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The aim of this study tousethree remedial method to the learning for mastering which :(learning for mastery incooperative small groups)and style (Re teaching using presentations by PowerPoint ), and style (homeworklearning by Microsoft word ) to in learning Movement Concatenation On Horizontal Bar in artistic gymnastics for men, as the aim of the research to identify any better methods to learn the movement in question , use the the experimental method to design with pretest and posttest equal totals , the subject of the study included on students second class in physical education and sport sciences , Baghdad University (2014-2015) ,The species used the specific manner by lot for selection , the subject divided into three empirical groups

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Publication Date
Sun Dec 01 2013
Journal Name
Baghdad Science Journal
Thermodynamic function of valineacid in n-n dimethyl formamide mixtures from conductance measurement
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Some physical properties enthalpy (?H), entropy (?s), free energy (?G),capacities(?cp?) and Pka values) for valine in dimethyl foramideover the temperature range 293.15-318.15K, were determined by direct conductance measurements. The acid dissociation at six temperature was examined at solvent composition x2) involving 0.141 of dimethyl foramide . As results, calculated values have been used to determine the dissociation constant and the associated thermodynamic function for the valine in the solvent mixture over temperatures in the range 293.15-318.15 k. The Pka1, and Pka2 were increased with increasing temperature.

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Publication Date
Wed Jan 01 2020
Journal Name
Technologies And Materials For Renewable Energy, Environment And Sustainability: Tmrees20
Change detection of the land cover for three decades using remote sensing data and geographic information system
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Publication Date
Wed Jun 08 2022
Journal Name
Translation & Linguistics
مفهوم المكان والزمان في قصائد ماكسيمس لجارلس اولسن
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يركز البحث على قصائد ماكسيمس للشاعر جارلس اولسن.تعتبر هذه القصائد ابداع غير تقليدي ونادر حيث استطاع الشاعر من خلالها ان ياخذ القارىء في عمليه مستمرة لشخصية واحدة في مكان واحد وهو جلوسستر.ان قصائد ماكسيمس مقسمة الى ثلاث مجلدات تقرأ كقصيدة واحدة . تقرأ هذه السلسلة من القصائد بسياق شخصي وسياسي ووجداني. تركز الدراسة على فكرة الوقت والمكان حيث تظهر القصائد بانوراما من المناظر الطبيعية والاشخاص والنماذج بصوره مس

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Publication Date
Fri Jun 02 2023
Journal Name
المجلة العراقية للعلوم السياسية
طبيعة العلاقة بين ركائز مفهوم المسؤولية عن الحماية
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بعد الانحرافات التي شابت تنفيذ المسؤولية عن الحماية في ليبيا عام 2011، دعت البرازيل الى اتباع التسلسل في تنفيذ الركائز الثلاث للمسؤولية عن الحماية عند معالجة الازمات الانسانية ذات الصلة بجرائم الحرب والجرائم ضد الانسانية وجريمة الابادة الجماعية وجريمة التطهير العرقي، في حين دعا الامين العام للامم المتحدة في العديد من تقاريره السنوية بشأن المسؤولية عن الحماية بانه لاينبغي التقيد بالتسلسل واعتبر ان الركائز ا

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Publication Date
Sat Feb 01 2025
Journal Name
Journal Of Al-farabi For Humanity Sciences
مفهوم السريالية في الشعر الاسباني في القرن العشرين
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راجت فكرة تجديد الأدب الأوروبي بشكل عام، والأدب الإسباني بشكل خاص، بداية القرن العشرين و انعكس ذلك من خلال تبني القطيعة مع معتقدات المدرستين الكلاسيكية والرومانسية اللتان هيمنتا على الساحة الأدبية لعقود خلت. لقد ظهرت العديد من المدارس التجديدية التي رفضت القوالب الأدبية و الشعرية القديمة و تبنت نظريات شعرية لم تكن معروفة سابقا, و كان من بين تلك المدارس المدرسة السريالية. في هذا البحث نعطي فكرة عن المدرسة ال

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