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Convergence Analysis for the Homotopy Perturbation Method for a Linear System of Mixed Volterra-Fredholm Integral Equations

           In this paper, the homotopy perturbation method (HPM) is presented for treating a linear system of second-kind mixed Volterra-Fredholm integral equations. The method is based on constructing the series whose summation is the solution of the considered system. Convergence of constructed series is discussed and its proof is given; also, the error estimation is obtained. Algorithm is suggested and applied on several examples and the results are computed by using MATLAB (R2015a). To show the accuracy of the results and the effectiveness of the method, the approximate solutions of some examples are compared with the exact solution by computing the absolute errors.

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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
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Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
A Mathematical Approach for Computing the Linear Equivalence of a Periodic Key-Stream Sequence Using Fourier Transform

A mathematical method with a new algorithm with the aid of Matlab language is proposed to compute the linear equivalence (or the recursion length) of the pseudo-random key-stream periodic sequences using Fourier transform. The proposed method enables the computation of the linear equivalence to determine the degree of the complexity of any binary or real periodic sequences produced from linear or nonlinear key-stream generators. The procedure can be used with comparatively greater computational ease and efficiency. The results of this algorithm are compared with Berlekamp-Massey (BM) method and good results are obtained where the results of the Fourier transform are more accurate than those of (BM) method for computing the linear equivalenc

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Publication Date
Fri Jan 13 2023
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Effects of liraglutide on weight control and blood pressure in type 2 diabetes mellitus Iraqi patients

Abstract

 Background: Diabetes mellitus is the most common endocrine illness, affecting an increasing number of people all over the world. It is caused by a lack, or inadequate synthesis of insulin by the pancreas leading to an increase in blood glucose concentrations. Type 2 diabetes mellitus is the most strongly linked disease to obesity of all disorders. The number of obesity-related diabetes is predicted to reach 300 million by 2025. The term 'diabesity' was coined as a result of this strong link, therefore, weight loss is seen as a key therapeutic goal in the prevention and management of type 2 diabetes mellitus. Liraglutide is a glucagon-like peptide-1 (GLP-1) receptor agon

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Publication Date
Mon Jan 27 2020
Journal Name
Iraqi Journal Of Science
Blow-up Rate Estimates and Blow-up Set for a System of Two Heat Equations with Coupled Nonlinear Neumann Boundary Conditions

This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in  associated with coupled Neumann boundary conditions of exponential type. The upper bounds of blow-up rate estimates are derived. Moreover, it is proved that the blow-up in this problem can only occur on the boundary.

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Publication Date
Sat Apr 01 2023
Journal Name
Baghdad Science Journal
Development and Validation of a Simple and Sensitive Reverse-Phase High Performance Liquid Chromatographic Method for the Determination of Ibuprofen in Pharmaceutical Suspensions

The aim of this work was to develop and validate a rapid and low cost method for estimation of ibuprofen in pharmaceutical suspensions using Reverse-Phase High Performance Liquid Chromatography. The proposed method was conducted and validated according to International Conference on Harmonization (ICH) requirements. The chromatographic parameters were as follows: column of octyldecylsilyl C18 with dimensions (150 × 4.6) mm, mobile phase composed of acetonitrile with phosphoric acid with a ratio of 50 to 50 each using isocratic mode, flow rate of 1.5 mL/min and injection volume of 5 μL. The detection was carried out using UV detector at 220 nm. The method was validated and showed short retention time for ibuprofen peak at 7.651 min, wit

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Publication Date
Wed Jan 28 2015
Journal Name
Al-khwarizmi Engineering Journal
Thermal Field Analysis of Oblique Machining Process with Infrared Image for AA6063-T6

Abstract

 Metal cutting processes still represent the largest class of manufacturing operations. Turning is the most commonly employed material removal process. This research focuses on analysis of the thermal field of the oblique machining process. Finite element method (FEM) software DEFORM 3D V10.2 was used together with experimental work carried out using infrared image equipment, which include both hardware and software simulations. The thermal experiments are conducted with AA6063-T6, using different tool obliquity, cutting speeds and feed rates. The results show that the temperature relatively decreased when tool obliquity increases at different cutting speeds and feed rates, also it

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Publication Date
Mon May 20 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Convergence Comparison of two Schemes for Common Fixed Points with an Application

      Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear integral equation.

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Publication Date
Sun Sep 02 2018
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Immunohistochemistry on cell blocks a method for pre-operative diagnosis of papillary thyroid carcinoma by FNAC

Background: Papillary thyroid carcinoma (PTC) is the commonest thyroid cancer. Cases in category-
5a of Bethesda system (suspicious for papillary carcinoma) are treated by surgical lobectomy followed
by total thyroidectomy if histopathology confirms papillary carcinoma. In order to reduce surgical
procedures to one this was conducted.
Objectives: evaluation of role of immunohistochemistry in pre-operative diagnosis of papillary thyroid
carcinoma on cell blocks.
Materials and Method: Cell blocks were taken from cases labelled category-5a for histopathology and
immunohistochemistry using three markers (CK-19, Thyro-peroxidase, and BRAFv600E mutation).
Results: were highly sensitive, and specific. The use of more tha

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Publication Date
Mon Aug 01 2022
Journal Name
Baghdad Science Journal
A Novel Technique for Secure Data Cryptosystem Based on Chaotic Key Image Generation

The advancements in Information and Communication Technology (ICT), within the previous decades, has significantly changed people’s transmit or store their information over the Internet or networks. So, one of the main challenges is to keep these information safe against attacks. Many researchers and institutions realized the importance and benefits of cryptography in achieving the efficiency and effectiveness of various aspects of secure communication.This work adopts a novel technique for secure data cryptosystem based on chaos theory. The proposed algorithm generate 2-Dimensional key matrix having the same dimensions of the original image that includes random numbers obtained from the 1-Dimensional logistic chaotic map for given con

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Publication Date
Sat Dec 31 2022
Journal Name
Journal Of Economics And Administrative Sciences
Improving Customer Value Through the Integral of Techniques Quality Function Deployment and Value Engineering

Health service institutions suffer from challenges resulting from the great changes that our world is witnessing today.  This has affected the value that these institutions add to the patient.

This research aims to identify the effect of integrating each of the techniques of QFD and value engineering for the health services provided to the patient to improve the value for him and thus obtain his satisfaction, which is reflected in the reputation of the surveyed hospitals. To achieve this, the descriptive analytical method was used, and a questionnaire was designed to collect the necessary data, which represents a measure of this research. The questionnaire was distri

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