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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
Tue May 05 2026
Journal Name
Journal Of Pioneering Medical Sciences
Clinical and Biochemical Indicators Associated with Impaired Kidney Function in Children with Type 1 Diabetes: A Case-Control Study.
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Background: Kidney failure is the leading cause of early death for diabetic patients and is regarded as the most dangerous consequence of the disease. This can only be reversed through early detection and intervention. The incidence of type 1 diabetes, which comprises 5-10 per cent of all diabetic diseases, is rising across the globe with a rate of 15 per 100,000 people per year. Methods: 90 samples were collected and used in this study. Thirty healthy children served as controls (aged 5-15 years), 30 patients with Type 1 Diabetes Mellitus (T1DM, aged 5-15 years) and 30 patients with type 1 diabetic nephropathy (DN), aged 5-20 years). Results: highly significant increase in Urea and Creatinine levels when compared control with DN al

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Publication Date
Sun Oct 02 2016
Journal Name
Journal Of Educational And Psychological Researches
Teaching Problems facing the first three class teachers in the city of Buraimi
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The present study aimed to identify teaching problems which facing the teachers for first three grades classes, and if these problems different according to some variables teacher qualification, experience period, class grade). The study sample consist of (137 )

 female teachers who teach the first three grades in Braimy city in Oman, teachers spread in five government schools. Both researchers developed questionnaire to measure problems faced by the mentioned teachers, consist of 50 questions distributed into 4 dimensions (teacher, students, the curriculum, the evaluations), Also researchers checked questionnaire validity and stability. The results indicate to: The most common probl

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Publication Date
Mon Jan 01 2024
Journal Name
Communications In Mathematical Biology And Neuroscience
The contribution of amensalism and parasitism in the three-species ecological system's dynamic
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Publication Date
Sun Sep 27 2020
Journal Name
Journal Of The College Of Education For Women
Degree of Availability of the Integrated Preparation Criteria inArabic Language Teachers’ Preparation Program in Syrian Universities from the Educational Qualification Diploma Students’ Viewpoint
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The study aimed to know the degree of availability of integrated preparation criteria in the Arabic Teacher training Program in Syrian universities from the viewpoint of university students of the Educational qualification diploma, and the degree of availability of these standards in the outputs of the preparation program. To achieve the Goals of the study, a list of integrated preparation criteria was prepare comprising (110) indicators, distributed to (11) criteria. The list was applied to a randomly chosen sample of (45) educational qualification diploma students. The results of the study showed that the Standards for integrated preparation are provided in a medium degree overall in the program for preparing teachers of Arabic languag

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Publication Date
Tue Jun 30 2026
Journal Name
Journal Of Communicable Diseases
Association of IL-37 Levels with Liver Function Enzymes in a Sample of Iraqi HBV-Infected Patients
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Background: Despite extensive efforts towards its elimination, Hepatitis B virus (HBV) continues to be a major concern, posing risk of liver cirrhosis and hepatocellular carcinoma (HCC) in those infected. Therefore, there is a need for reliable biomarkers to accurately assess the infection. While liver enzymes remain the standard diagnostic tools, the anti-inflammatory and anti-tumor interleukin-37 (IL-37) has emerged as a potential biomarker. Aims: To assess the relationship between serum IL-37 and liver enzymes in HBV patients. Methods: Liver enzymes were measured by Fujifilm’s dry chemistry system (Fuji Dri-Chem), whereas Enzyme-Linked Immunosorbent Assay (ELISA) was utilized for determination of IL-37 levels. A total of 100 patients

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Publication Date
Tue Jan 01 2013
Journal Name
Brain Research Bulletin
A note on the probability distribution function of the surface electromyogram signal
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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Efficient computational methods for solving the nonlinear initial and boundary value problems
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Publication Date
Fri Apr 21 2023
Journal Name
Aip Conference Proceedings
Efficient computational methods for solving the nonlinear initial and boundary value problems
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In this paper, three approximate methods namely the Bernoulli, the Bernstein, and the shifted Legendre polynomials operational matrices are presented to solve two important nonlinear ordinary differential equations that appeared in engineering and applied science. The Riccati and the Darcy-Brinkman-Forchheimer moment equations are solved and the approximate solutions are obtained. The methods are summarized by converting the nonlinear differential equations into a nonlinear system of algebraic equations that is solved using Mathematica®12. The efficiency of these methods was investigated by calculating the root mean square error (RMS) and the maximum error remainder (𝑀𝐸𝑅n) and it was found that the accuracy increases with increasi

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Publication Date
Sat Jan 01 2022
Journal Name
Aip Conference Proceedings
Numerical solution for Wiener-Hopf integral equation using artificial neural network
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Publication Date
Wed Jan 01 2025
Journal Name
Journal Of Interdisciplinary Mathematics
Double INEM-transform integral for solving second order partial differential equation
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In this study, a brand-new double transform known as the double INEM transform is introduced. Combined with the definition and essential features of the proposed double transform, new findings on partial derivatives, Heaviside function, are also presented. Additionally, we solve several symmetric applications to show how effective the provided transform is at resolving partial differential equation.

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