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

Pakhshan M. Hasan; Nejmaddin Abdulla Sulaiman

doi:10.21123/bsj.2020.17.3(Suppl.).1010

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Publication Date

Tue Sep 08 2020

Journal Name

Baghdad Science Journal

Volume

17

Issue Number

3(Suppl.)

DOI

10.21123/bsj.2020.17.3(Suppl.).1010

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

Homotopy perturbation method

linear system of second kind mixed Volterra-Fredholm integral equations.

Pakhshan M. Hasan

Nejmaddin Abdulla Sulaiman

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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 Dec 13 2022

Journal Name

Dental Hypotheses

Comparative Evaluation of Marginal Microleakage Between Bulk-Fill, Preheated Bulk-Fill, and Bulk-Fill Flowable Composite Resins Above and Below Cemento-Enamel Junction Using Micro-Computed Tomography: An In Vitro Study

Bulk fill composite resin

bulk fill flowable

micro-CT

microleakage

preheated composite resin

Alaa Jawad Kadhim

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Objective: The aim of this study was to compare the marginal microleakage between bulk-fill, preheated bulk-fill, and bulk-fill flowable composite resins above and below cemento-enamel junction (CEJ) using micro-computed tomography. Methods: Sixty freshly extracted premolar teeth were prepared with a slot shaped cavities of a total of 120 Class II: 3mm (bucco-lingual), 2mm (mesio-distal) with mesial-gingival margin located 1mm coronal to CEJ, and distal gingival margin located 1mm apical to the CEJ. The samples were randomly divided into two main groups according to the restorative material (Tetric EvoCeram and 3M Filtek), and each group was further sub-divided into three subgroups according to the consistency (bulk fill, preheated bulk fil

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Publication Date

Sun Mar 04 2018

Journal Name

Baghdad Science Journal

On Fully Stable Banach Algebra Modules and Fully Pesudo Stable Banach Algebra Modules

fully stable Banach A-modules

the algebra of endomorphism of a fully stable Banach A-module

fully pseudo stable Banach A-module.

Samira Naji

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The concept of fully pseudo stable Banach Algebra-module (Banach A-module) which is the generalization of fully stable Banach A-module has been introduced. In this paper we study some properties of fully stable Banach A-module and another characterization of fully pseudo stable Banach A-module has been given.

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Publication Date

Sat Oct 01 2016

Journal Name

Journal Of Theoretical And Applied Information Technology

Factors affecting global virtual teams’ performance in software projects

Today the trend is to perform software development work via distributed geographical area among team

individual or even as an organization. However

due to the global market and international presence of many companies

there is a need to implement a global virtual teams. The global virtual team members are gradually engaged in globalized business environments across space

time and organizational boundaries via information and communication technologies. A global virtual team relies on communication

collaboration

and information exchange are the most important criteria in global virtual teams’ operations. The purpose of this paper is to answer two research questions. The first research question is to identify the factors affecting global virtual teams’ performance. A systematic literature review was conducted to answer the first research question. The second research question is on what the rank of the factor affecting the global virtual teams’ performance according to their level of effect on global virtual teams’ performance. Online survey was conducted within 103 developers and IT managers from eight IT companies to answer the second research question. The Statistical Package for Social Science (SPSS 22) was used to analyze the collected data. In this study

we investigated factors that affect global virtual teams’ performance

factors considered include cultural differences

language problems

time-zone differences

team size

technical problems

lack of trust

lack of sufficient training

and ICT problems. Also the findings indicated that lack of sufficient training is the highest level of effect on global virtual teams’ performance. On the other hand

Ali Yahya Gheni

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(24)

Publication Date

Tue Jan 20 2026

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Synthesis, Characterization and Dyeing Performance of Co(II), Ni(II), Cu(II) and Zn(II) Complexes with (E)-4-Chloro-N-(2-(Dimethylamino)Ethyl)-5-((8-Hydroxyquinolin-5-yl)Diazenyl)-2-Methoxybenzamide

5-Amino-4-chloro-N-(2-(dimethylamino)ethyl)-2-methoxybenz-amide

Azo dyes

Dyeing performance

Textile industry.

Amer J.

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The (E)-4-chloro-N-(2-(dimethylamino)ethyl)-5-((8-hydroxy quinolin-5-yl)diazenyl)-2-methoxybenzamide azo ligand (L) has been synthesized through the reaction of diazonium salt for 5-amino-4-chloro-N-(2-(dimethylamino) ethyl)-2-methoxybenzamide with 8-hydroxyquinoline and identified azo ligand (L) using spectroscopic studies (FTIR, UV-Vis, 1H and 13CNMR, mass), and micro-elemental analysis (C.H.N). Metal chelates of Co(II), Ni(II), Cu(II), as well as Zn(II) have been completed as well as characterized using mass spectra, flame atomic absorption, elemental analysis (C.H.N), infrared, UV-Vis spectroscopy, as well as conductivity, magnetic measurements. The metal-to-ligand ratio in all complexes, as determined by analytical data, was 1:2 and ex

Publication Date

Mon Dec 25 2017

Journal Name

Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)

Extraction, Identification and Isolation of B-sitosterol from Iraqi Wild Awsaj plant (Lycium barbarum) Using UAE (Probe and Bath) and two isolation technique (HPTLC and PHPLC): B-sitosterol in Iraqi Awsaj plant

Key words: Awsaj

ultrasound assisted extraction (UAE)

B-sitosterol

high performance thin layer chromatography (HPTLC)

preparative high performance liquid chromatography (PHPLC).

thukaa zuhair

Ahmed Abbas

Kawkab Y.

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Awsaj (Lycium barbarum) is a plant belong to family Solanaceae serves as a good source of bioactive compounds like phytosterols which have many important biological activity. Literature survey available so far revealed that there was no studies about Iraqi wild Awsaj phytosterols especially B-sitosterol, there for the objective of this study was to examine the efficiency of ultrasound assisted extraction (probe and bath) as compared to the conventional (Soxhlet) extraction method for extraction of phytosterols especially B-sitosterol from fruits, leaves, stems and roots of Iraqi wild Awsaj plant. This goal was achieved by comparing the extraction mass yield, also by a quick and easy approach for identification and quantification of bioac

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Publication Date

Wed Jul 01 2020

Journal Name

International Journal Of Pharmaceutical Research

Synthesis and identification of some new N-substituted quinazoline-4-one, thiazine-4-one and tetrazoline rings incorporating N-ethyl-2-(benzylthio)benzimidazole acetate and study their application as anti-oxidant agent

Halah,

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Publication Date

Thu Jan 02 2014

Journal Name

Sino Us

“Actual Experience”: Correcting Misconceptions Through Analyzing Harriet Wilson’s Our Nig

structure of feeling

alternative social character

racism

female character

misconceptions

Azhar Noori

ROSLI

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African-American writers during the 19th century wrote in the shadow of the prominent romance, sentimental, and domestic fiction. Harriet Wilson’s Our Nig (1859) reflects an “alternative social character”, for the female protagonist suffers racism in the free North, because she is a mulatto child. Through depicting the life of free blacks, who supposedly lives a better life than Southern slaves, Wilson exposes how she has actually lived and sensed life in antebellum America. According to Raymond Williams (2011), there are two kinds of literary writings. The first represents the general tendency of the age, and he calls it “dominant social character”; representing the majority content of both the public writing and speaking. But, a

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Publication Date

Sun Jun 30 2019

Journal Name

Iraqi Journal Of Chemical And Petroleum Engineering

Enhancing Drilling Parameters in Majnoon Oilfield

Drilling parameters

Drilling time

Weight on bit

Rate of penetration

Majid

Ayad

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The objective of drilling parameters optimization in Majnoon oilfield is to arrive for a methodology that considers the past drilling data for five directional wells at 35 degree of inclination as a baseline for new wells to be drilled. Also, to predicts drilling performance by selecting the applied drilling parameters generated the highest rate of penetration (ROP) at each section. The focal point of the optimization process is to reduce drilling time and associated cost per each well. The results of this study show that the maximum ROP could not be achieved without sufficient flow rate to cool and clean the bit in clay intervals (36" and 24") hole sections. Although the influence of combination of Weight on Bit (WOB), Round per minute

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Publication Date

Thu Sep 05 2019

Journal Name

Al-kindy College Medical Journal

Review Article Blastocystosis

B Microbiology Department

Al-kindy college of medicine

Baghdad University

Israa Mohammad

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Blastocystosis is symptomatic infection caused by the protozoal parasite Blastocystis , which resides in the intestinal tract of its hosts and it is one of the most common parasites reported in humans. It’s prevalence ranges between (30 - 50%) of the population in developing countries. This genus has a worldwide distribution and often the most commonly reported human intestinal protozoan in children and adults, even infect infants

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(1)

Publication Date

Sun Sep 25 2022

Journal Name

Modern Sport

استعمال تمرينات خاصة وفق جهاز verti max وتأثيرها في تطوير تحمل الخاص للذراع الرامية وانجاز رمي الرمح للاعبيين دون ال 16 سنة

: verti max

Special bearing of the aiming arm

Achievement

javelin

israa fouad

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تكمن أهمية البحث من الاستفادة من تمرينات الخاصة بمساعدة استعمال أي جهاز تدريبي مثل استعمال جهاز (Vertimax) فإِنَّ هذهِ التدريبات تساعد في تطوير التحمل الخاص وفقًا لما يتطور من قدرات بدنية باستعمال هذا الجهاز، ومن هنا برزت مشكلة البحث انه من المهم للاعب ان يعمل على الروافع الجسم للحصول على اداء افضل في عملية الرمي والحصول على افضل انجاز لهذة الفعالية باستعمال جهاز تدريبي جديد حيث يسلط مقاومات متعددة في ان وا

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