An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method

Mohammed G. S.  AL-Safi

doi:10.21123/bsj.2018.15.3.0344

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Publication Date

Thu Sep 13 2018

Journal Name

Baghdad Science Journal

Volume

15

Issue Number

3

DOI

10.21123/bsj.2018.15.3.0344

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An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method

Collocation Method

Fractional derivative

Jacobi polynomial

Volterra-Fredholm integro-differential equations of fractional order.

Mohammed G. S. AL-Safi

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The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.

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Publication Date

Wed Mar 16 2022

Journal Name

Journal Of Educational And Psychological Researches

Systematic analysis of artistic work as an introduction to planning training for teaching art education to students of Sultan Qaboos University

systematic analysis

planning for teaching

students of Sultan Qaboos University

Yasser Mahmoud Fawzi

Mohammed Hammoud Al Ameri

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The current research aims to train students to take benefit of their studies to analyze and taste the artistic works as one of the most important components of the academic structure for students specializing in visual arts; then to activate this during training them the methods of teaching. Consequently, the capabilities of mind maps were employed as a tool that would be through freeing each student to analyze a model of artistic work and think about his analytical principles according to what he knows. Then, a start-up with a new stage revolves around the possibility of transforming this analysis into a teaching style by thinking about how the student would do. The same person who undertook the technical analysis should offer this work

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Publication Date

Mon Apr 06 2020

Journal Name

August

INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUE

This study was done to examine different concentrations of mercuric chloride (Hgcl2) for Explants sterilization and different concentration of NAA) mg/L with 2iP for their effect on initiation primary callus and subsequent embryogenesis in Phoenix dactyliferae cultivar Barhi. Leaf primordial and shoot tips were excised from 2-3 years old offshoot. The result showed that contamination percentage decreased with an increase in concentration of Hgcl2 for two explants where in the control (0.0)% gave highest value 75% and 62.5% of contamination for leaf primordial and shoot tip respectively while the addition (0.1)% gave a significant decrease 37.5 and 0% for explants respectively. The Explants were inoculated onto Murashiege and Skoog

1962 (MS) medium supplemented with 2iP 3mg/L and containing 0

25

50 or 100 mg/L of NAA

the addition (50) mg/L of NAA gave highest value 68.8% in percentage of callus initiation with significant difference from addition 0% gave lowest value (18.8)%

as well Explants of shoot tip gave significant difference was 53.1% while leaf primordial gave 28.1%

Primary callus was transferred to fresh MS medium containing (0

5

10 and 20) mg/L of NAA with 3mg/L 2iP

Results were recorded after 12 weeks. A highest value of embryonic callus induction percentage or fresh weight and dry weight 87.5% or 1.56g and 0.47g for the character respectively for the treat 20 mg/L while control treatment 0.0 gave the lowest value 12.5% or 0.37g and 0.14g for same character respectively. Inoculated 1g fresh biomass into a 250 ml Erlenmeyer flask containing 50 ml MS liquid medium supplemented with NAA 20mg/L and agitated at 150 rpm by shaker to making suspension culture the measurements of packed cell volume ( pcv) or fresh and dry weight taken weekly for 12 weeks

maximum values were reached in the eighth week of PCV and fresh weight but the dry weight reached to highest value in seventh week

then the curve began to decline gradually until it reached stability in the last two weeks. The cell suspension was Diluted to different initial cell density of 100

500

10000

50000 and 100000 cells /ml with hemocytometer. The initial cell number of (10000) cells gave significant different of plating efficiency PE (11.6)% while (100) cells gave lowest value 1.8% of PE.

Ali A.

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Publication Date

Wed Aug 31 2022

Journal Name

Journal Of Positive School Psychology

Impact Of An Educational Program For Nursing Management About Care Of Children Treated With VP Shunt In Mosul City

raghda

Adraa

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Publication Date

Sun Feb 28 2021

Journal Name

Journal Of Economics And Administrative Sciences

An Analytical Study of the Impact of Military Spending on the Chinese Economy Growth for the Period (1990-2018)

Military spending

Economic growth

China

Rafah Adnan

Fatma Ebrahem

Anwar saeed

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The increase in military spending has become a feature of the times for many countries, including China. They have sought to increase their defence spending, not with the aim of domination and possession, but rather to protect their economic interests and to secure their foreign trade. The research aims to identify the impact of military spending by studying the nature of defence spending and its role in providing security. And stability and facilitating foreign investment in it, as well as storming the military industry, securing some humanitarian supplies, and participating in a variety of public works that can be used in the civil and military fields, and the aim of the research is to id

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Publication Date

Sat Jan 31 2026

Journal Name

Al–bahith Al–a'alami

SOCIAL RESPONSIBILITY FOR THE EMPLOYMENT OF WOMAN IN SUSTAINABLE DEVELOPMENT DECLARATIONS: (An Analytical Study of Road Advertising in Baghdad)

Social Responsibility

woman

Road ads

sustainable development

Kareem Meshet

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Woman is the first target of social advertising, because most of these advertisements are primarily belong to them. This paper which is entitled "Social Responsibility for the Employment of Woman in Sustainable Development Declarations, An Analytical Study of Road Advertising in Baghdad" focuses on the use of woman in advertising. This aspect shows that some people see that advertisement is a mirror to what’s found in society such as woman’s behaviors in her everyday life and so on, while other people see that as long as the public wants those advertisings, they are free to choose what they prefer. They think that the shameful advertisements are natural and unavoidable. These vie

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Publication Date

Tue Aug 02 2016

Journal Name

The Iraqi Journal Of Agricultural Sciences

AN ECONOMIC ANALISYS FOR PRICING POLICY AND POLICY OF FORIGEN TRADE OF AGRICULTURAL SECTOR IN IRAQ DURING 2003-2013

Agricultural Policy

Agricultural trade balance

Net Nominal Protection Coefficient

Agricultural exports.

Basim

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There is no doubt that Agricultural Policy is the main responsible for the degrading in Agricultural sector in Iraq during the period 2003-2013, and that was very clear from magnitude of indicators because of little sharing of each of agricultural product in GDP because it was (9.38%) in average during the study period and the annual changing of it was negative (-5.82%), and there is increasing in deficit of trade balance in Agriculture during the study period about (4185.73) million US$, and the percentage of agricultural exports from total exports was (0.14%) in average only. The foreign trade policy in Agricultural products also cannot determine map of Revealed Comparative Advantage (RCA) of Agricultural products and crops. The study sh

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Publication Date

Wed Jun 01 2022

Journal Name

Heliyon

Modification of SBA-15 mesoporous silica as an active heterogeneous catalyst for the hydroisomerization and hydrocracking of n-heptane

Nisreen S.

Ziad T.

Hasan Sh.

Hussein G.

Mahir A.

Noori M.

Talib M.

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(71)

Publication Date

Sat Jan 31 2026

Journal Name

Journal Of Baghdad College Of Dentistry

Evaluation of fracture strength of endodontically treated teeth restored by milled zirconia post and core with different post and core systems (An in vitro comparative study)

Huda M

Adel F

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Background: Restoration of root canal treated teeth with a permanent restoration affect in the success of endodontically treated teeth. This in vitro study was performed to evaluate and compare the fracture strength of endodontically treated teeth restored by using custom made zirconium posts and cores, prefabricated carbon fiber, glass fiber and zirconium ceramic posts. Materials and method: Forty intact human mandibular second premolars were collected for this study and were divided into five groups. Each group contains 8 specimens: Group1: Teeth restored with Carbon Fiber Posts; Group2: Teeth restored with Glass Fiber Posts; Group3: Teeth restored with Zirconium Ceramic prefabricated Posts; Group4: Teeth restored with Zirconium Posts

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Publication Date

Tue Nov 01 2022

Journal Name

Journal Of Engineering

Influence of Fire-Flame Duration and Temperature on the Behavior of Reinforced Concrete Beam Containing Water Absorption Polymer Sphere; Numerical Investigation

WAPS

Finite Element Methods

R.C.B.

Elevated Temperature

Fire Duration

Nibras Farooq

Shatha

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One of the most important parameters determining structural members' durability and strength is the fire flame's influence and hazard. Some engineers have advocated using advanced analytical models to predict fire spread impact within a compartment and considering finite element models of structural components to estimate the temperatures within a component using heat transfer analysis. This paper presented a numerical simulation for a reinforced concrete beam’s structural response in a case containing Water Absorbing Polymer Spheres (WAPS) subjected to fire flame effect. The commercial finite element package ABAQUS was considered. The relevant geometrical and material parameters of the reinforced concrete beam model at elevated t

Publication Date

Tue Nov 01 2022

Journal Name

Journal Of Engineering

Influence of Fire-Flame Duration and Temperature on the Behavior of Reinforced Concrete Beam Containing Water Absorption Polymer Sphere; Numerical Investigation

WAPS

Finite Element Methods

R.C.B.

Elevated Temperature

Fire Duration

Nibras Farooq

Shatha

...Show More Authors

One of the most important parameters determining structural members' durability and strength is the fire flame's influence and hazard. Some engineers have advocated using advanced analytical models to predict fire spread impact within a compartment and considering finite element models of structural components to estimate the temperatures within a component using heat transfer analysis. This paper presented a numerical simulation for a reinforced concrete beam’s structural response in a case containing Water Absorbing Polymer Spheres (WAPS) subjected to fire flame effect. The commercial finite element package ABAQUS was considered. The relevant geometrical and material parameters of the reinforced concrete beam model at elevated t

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