Modified Optimization Algorithms for Infinite Integro-Differential Equations via Generalized Laguerre Polynomials

Farah J. Al-Zahid; Nadia M. J. Ibrahem; Suha Shihab; Nadia M. G. Al-Saidi

doi:10.18280/mmep.121008

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Publication Date

Fri Oct 31 2025

Journal Name

Mathematical Modelling Of Engineering Problems

Volume

12

DOI

10.18280/mmep.121008

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Modified Optimization Algorithms for Infinite Integro-Differential Equations via Generalized Laguerre Polynomials

convergence analysis

generalized Laguerre polynomial

infinite-boundary problems

integro-differential equation

optimization techniques

Farah J. Al-Zahid

Nadia M. J. Ibrahem

Suha Shihab

Nadia M. G. Al-Saidi

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This study emphasizes the infinite-boundary integro-differential equation. To examine the approximate solution of the problem, two modified optimization algorithms are proposed based on generalized Laguerre functions. In the first technique, the proposed method is applied to the original problem by approximating the solution using the truncated generalized Laguerre polynomial of the unknown function, optimizing coefficients through error minimization, and transforming the integro-differential equation into an algebraic equation. In contrast, the second approach incorporates a penalty term into the objective function to effectively enforce boundary and integral constraints. This technique reduces the original problem to a mathematical optimization problem, making it easier to manage. The proposed methods are examined through various experiments, including numerical applications such as thermal, pharmacokinetic, oscillatory, aerodynamic, and ecological models, to demonstrate the validity, efficiency, and applicability of the techniques. Error analysis indicates that the approximation becomes more accurate as the number of generalized Laguerre basis functions increases.

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Publication Date

Sun Dec 07 2014

Journal Name

Baghdad Science Journal

Synthesis, Characterization and Stability Study of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) Complexes with Pyrazol Derivative

In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate

which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV)

Zr(IV)

Rh(III)

Pd(II)

Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1

2) were characterized by FT-IR and UV spectroscopy

as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N)

flame atomic absorption technique

FT-IR and UV-Vis spectroscopy

in addition to magnetic susceptibility and conductivity measurements. Metal to ligand [M:L] ratio was obtained for all complexes in ethanol using molar ratio method

which gave comparable results with those obtained for the solid complexes. As well as the appa

Sinan M.

Enaam M.

Maysoon A

Sarab M

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In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate, which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1, 2) were characterized by FT-IR and UV spectroscopy, as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N), flame atomic absorption technique, FT-IR and UV-Vis spectroscopy, in additio

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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

Wed Dec 01 2021

Journal Name

Structures

The effect of ground motion characteristics on the fragility analysis of reinforced concrete frame buildings in Australia

The seismic performance of buildings can be assessed through fragility analysis as it yields the probability of the demand exceeding the capacity at a specified level of intensity. Although it's well-identified that earthquake uncertainties dominate the fragility characteristics

the influence of the characteristics of the earthquake on the fragility analysis is not well investigated. This study aims to compare the effect of earthquake characteristics on the fragility values of typical buildings in Australia. To achieve this

a typical reinforced concrete building is selected and modeled using a finite element approach. Various ground motion suites

such as near-fault

far-fault

and long-duration are selected

and the fragility analysis has been carried out for each ground motion suite. It is observed that the variation in the median values of the collapse fragilities can be as high as 48% between short-duration and long-duration ground motions

and about 40% between long-duration and pulse-like ground motions.

Aya

Sujith

Javad

Alaa

M.D. Morshed

Abbas A.

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(16)

Publication Date

Mon Nov 01 2010

Journal Name

Al-nahrain Journal Of Science

Chemical Elements Diffusion in the Solar Interior

The standard solar model and equation of state have been used to study relative diffusion of Hydrogen and Helium in the present time for solar interior

as a function of distance and depth from the center of the star. The effects of temperature and density on diffusion velocity for these chemical elements have been explaned. It is found that heat flow which is arising from these reactions leads to an increase in helium diffusion velocity

while the temperature and density leading to a decrease in Hydrogen diffusion velocity. This means that Hydrogen behaves inversely with that for helium does through these reactions. Accordingly

diffusion percentages for Hydrogen

Helium and other Heavy Elements could be determined for the main sequence stars and white dwarf stars.

H.

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Publication Date

Tue Apr 01 2014

Journal Name

Journal Of Economics And Administrative Sciences

Financial markets liquidity and their impact in the return of common stocks

The research aimed to study the financial markets liquidity and returns of common stocks

Take the research the theoretical concepts associated with each of the liquidity of financial markets and returns of common stocks

As well as the use of mathematical methods in the practical side to measure market liquidity and Stocks Return

the community of research in listed companies in Iraqi stock exchange that have been trading on its stock and number 85 joint-stock company

The research was based to one premise

there is a statistically significant effect for the liquidity of the Iraqi stock exchange on returns of common stocks to traded companies in which

Using the SPSS program was to test the hypothesis research population represented Iraq Stock Exchange for a period of three years (2010-2012) on a monthly basis. The research found the set of conclusions most important rising market liquidity for Iraq Stock Exchange and followed increase in return of common stocks for a period of research

as the results of statistical analysis indicated the presence of a statistically significant effect of moral Iraq Stock Exchange liquidity on returns of common stocks

and most important recommendations should the Iraq Stock Exchange work to expand its activities in electronic trading

by providing the possibility of trading for investors through the Internet

and not limited to trading within the market

and should work to reduce the transaction costs to raise the liquidity common stock

and thus reflect positively on the liquidity of the Iraq Stock Exchange brokerage firms associated with it .

اياد طاهر

محمد حمدان

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The research aimed to study the financial markets liquidity and returns of common stocks , Take the research the theoretical concepts associated with each of the liquidity of financial markets and returns of common stocks , As well as the use of mathematical methods in the practical side to measure market liquidity and Stocks Return, the community of research in listed companies in Iraqi stock exchange that have been trading on its stock and number 85 joint-stock company, The research was based to one premise, there is a statistically significant effect for the liquidity of the Iraqi stock exchange on returns of common stocks to traded companies in which , Using th

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Publication Date

Sun Feb 15 2026

Journal Name

Journal Of Studies And Researches Of Sport Education

The effect of using the educational bag on the level of learning some offensive skills with the epee weapon

The effect of using the educational bag on the level of learning some offensive skills with the epee weaponDr. Lamia Hassan Al-Diwan

D. Fatima Abdel-Maliki

Dr. Kholoud Laith Abdel Karim2005 Technical and technological development has been increasing day after day and has included all areas of life

including the educational process

which has benefited from technologies such as (computer

video

and pictorial models) in introducing them as tools to aid the learning process. Educational packages have proven their effectiveness in education as they prepare learners with different areas of experience. Sensory audio-visual

through which the learner acquires different educational experiences through interaction

practice

participation

and communication with the data of the surrounding environment through the diversity of knowledge sources that suit his inclinations and needs. The research aimed to prepare an educational bag to teach some offensive skills in the epee weapon. And to find out the effect of using the proposed educational bag on the level of learning some offensive skills in the epee weapon. We hypothesized that the proposed educational package has a positive impact on the level of learning some offensive skills with the epee weapon. There were statistically significant differences in testing the level of learning some offensive skills with the epee weapon between the post-tests of the experimental and control groups

and in favor of the experimental group. The researchers used the experimental method to suit the nature of solving the research problem

and the research sample was chosen intentionally from the girls’ fencing club players (beginners) in the governorate. Basra for the year 2005. The number of players was (16)

which represented the entire study population. The experiment was conducted in the sports hall of the South Oil Sports Club in Basra. We concluded that the educational package has a positive impact on the level of learning some offensive skills in the epee weapon. There were statistically significant differences in the learning level test for some offensive skills in the epee weapon between the experimental group and the control group in the post-tests and in favor of the experimental group. We recommended the necessity of using the proposed educational curriculum to learn some offensive skills in the epee weapon in fencing lessons or in sports clubs. Adopting modern techniques in training

teaching or teaching fencing skills and searching for new methods. Conducting similar studies on other skills or different samples.Keywords: educational bag

offensive skills with an epee weapon

fencing game. Teaching methods. Basra Girl Sports ClubLamya Hassan Aldewan [email protected] of Basra - College of Education and Sports Scienceshttps://orcid.org/0000-0003-0377-6915 Keywords educational bag

offensive skills with an epee weapon

fencing game. Teaching methods. Basra Girl Sports Club

‏Lamyaa

Fatima

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