Reliable Iterative Method for solving Volterra - Fredholm Integro
Differential Equations

Samaher Marez Yassein

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Publication Date

Sun Jul 04 2021

Journal Name

(al-qadisiyah-journal Of Pure Science(qjps

Volume

26

Issue Number

2

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Reliable Iterative Method for solving Volterra - Fredholm Integro Differential Equations

Volterra - Fredholm Integro - Differential Equations

Iterative Method

Initial Conditions

Samaher Marez Yassein

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The aim of this paper is to propose a reliable iterative method for resolving many types of Volterra - Fredholm Integro - Differential Equations of the second kind with initial conditions. The series solutions of the problems under consideration are obtained by means of the iterative method. Four various problems are resolved with high accuracy to make evident the enforcement of the iterative method on such type of integro differential equations. Results were compared with the exact solution which exhibits that this technique was compatible with the right solutions, simple, effective and easy for solving such problems. To evaluate the results in an iterative process the MATLAB is used as a math program for the calculations.

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Publication Date

Tue Sep 01 2020

Journal Name

Baghdad Science Journal

Modified Weighted Pareto Distribution Type I (MWPDTI)

Azzallini’s method

Cumulative distribution function

Modified weighted Pareto distribution type I(MWPDTI)

Reliability function

Standard Pareto distribution type I(SPDTI).

Mahmood A.

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In this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution. Thus, the proposed distribution is a modification to the Pareto distribution of the first type, where the probability of the random variable lies within the period The properties of the modified weighted Pareto distribution of the type I (MWPDTI) as the probability density function ,cumulative distribution function, Reliability function , Moment and the hazard function are found. The behaviour of probability density function for MWPDTI distrib

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Publication Date

Thu Aug 01 2019

Journal Name

International Journal Of Research - Granthaalayah

CALCULATION OF MULTIPLE MIXING RATIOS OF GAMMA RAYS FROM 𝑵𝒅(𝒏,𝒏)𝟔𝟎 𝟏𝟒𝟐−𝟏𝟓𝟎 ) 𝟔𝟎𝑵𝒅 𝟏𝟒𝟐−𝟏𝟓𝟎 INTERACTION

Multiple Mixing Ratios

The Constant Statistical Tensor (CST) Method

Electric Quadra Pole 𝐸2

Magnetic Dipole M2

60𝑁𝑑 142−150

Gamma –Transition

𝛿

.

Taghreed

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In the current research, multiple mixing ratios of gamma -transitions of the energy levels 60𝑁𝑑 142−150 isotopes populated in 𝑁𝑑(𝑛, 𝑛 ˊ 60 142−150 ) 60𝑁𝑑 142−150 interaction are calculated using the constant statistical tensor (CST) method. The results obtained are, in general, in good agreement or consistent, within the experimental error, with the results published in the previously researches. Existing discrepancies result from inaccuracies in the experimental results of previous works. The current results confirm the validity of the constant statistical tenser method of calculating the values of mixing ratios and its predictability of errors in experimental results

Publication Date

Mon Jun 05 2023

Journal Name

Journal Of Economics And Administrative Sciences

Comparison of Poisson Regression and Conway Maxwell Poisson Models Using Simulation

Poisson regression

Conway-MaxWell Poisson

Maximum Likelinood Method

Mean square error

Akakie

Inverse Simulation.

انحدار بواسون

كونواي ماكسويل بواسون

طريقة الامكان الاعظم

متوسط مربعات الخطأ

الاكايكي

محاكاة المعكوس.

Sarah

Lamyaa

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Regression models are one of the most important models used in modern studies, especially research and health studies because of the important results they achieve. Two regression models were used: Poisson Regression Model and Conway-Max Well- Poisson), where this study aimed to make a comparison between the two models and choose the best one between them using the simulation method and at different sample sizes (n = 25,50,100) and with repetitions (r = 1000). The Matlab program was adopted.) to conduct a simulation experiment, where the results showed the superiority of the Poisson model through the mean square error criterion (MSE) and also through the Akaiki criterion (AIC) for the same distribution.

Paper type:

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Publication Date

Mon Jun 05 2023

Journal Name

Journal Of Economics And Administrative Sciences

Fuzzy Bridge Regression Model Estimating via Simulation

Fuzzy linear regression

Fuzzy least squares method

Fuzzy Bridge regression

multicollinearity

triangular fuzzy numbers

Variance Inflation Factor.

الانحدار الخطي الضبابي

طريقة المربعات الصغرى الضبابية

انحدار الجسر الضبابي

التعدد الخطي

الأرقام الضبابية المثلثية

عامل تضخم التباين.

Rawya

Mohammed

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The main problem when dealing with fuzzy data variables is that it cannot be formed by a model that represents the data through the method of Fuzzy Least Squares Estimator (FLSE) which gives false estimates of the invalidity of the method in the case of the existence of the problem of multicollinearity. To overcome this problem, the Fuzzy Bridge Regression Estimator (FBRE) Method was relied upon to estimate a fuzzy linear regression model by triangular fuzzy numbers. Moreover, the detection of the problem of multicollinearity in the fuzzy data can be done by using Variance Inflation Factor when the inputs variable of the model crisp, output variable, and parameters are fuzzed. The results were compared usin

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Publication Date

Tue Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fuzzy Semimaximal Submodules

Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if Mâ„(Nis a semisimple R-module ).The main objective of this work is to fuzzify this concept

study the basic properties and we investigate the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple

semisimple) F- submodules and quotient F- modules are introduced and given some properties .

Maysoun

Hatam

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Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if

the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are introduced and given some properties .

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(1)

Publication Date

Thu Aug 01 2019

Journal Name

Journal Of Economics And Administrative Sciences

مقارنة مقدرات بيز لدالة المعولية لتوزيع باريتو من النوع الاول باستعمال دوال معلوماتية مضاعفة مختلفة

Pareto type I distribution

reliability function

bayes method

double prior distributions (chi-gamma square distribution. gamma- erlang distribution

erlang exponential distribution

the squared error loss function.

توزيع باريتو من النوع الاول

دالة المعولية

طريقة بيز

الدوال المعلوماتية المضاعفة : توزيع مربع كاي- كاما

توزيع كاما - ارلنك

التوزيع ارلنك- الاسي

دالة الخسارة التربيعية.

جنان عباس

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The comparison of double informative priors which are assumed for the reliability function of Pareto type I distribution. To estimate the reliability function of Pareto type I distribution by using Bayes estimation, will be used two different kind of information in the Bayes estimation; two different priors have been selected for the parameter of Pareto type I distribution . Assuming distribution of three double prior’s chi- gamma squared distribution, gamma - erlang distribution, and erlang- exponential distribution as double priors. The results of the derivaties of these estimators under the squared error loss function with two different double priors. Using the simulation technique, to compare the performance for

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Publication Date

Tue Oct 23 2018

Journal Name

Journal Of Economics And Administrative Sciences

Comparison Bayes Estimators of Reliability in the Exponential Distribution

The Exponential

Bayes method

the prior distributions: Inverse Chi-square distribution

Inverted Gamma distribution

improper distribution

non-informative distribution

mean squared errors (MSE)

mean weighted squared errors (MWSE).

التوزيع الاسي

طريقة بيز

التوزيعات الأولية : توزيع معكوس مربع كاي

توزيع معكوس كاما

توزيع غير الملائم (Improper)

توزيع Non-informative. دالة الخسارة التربيعية والتربيعية الموزونة

متوسط مربع الاخطاء (MSE)

متوسط مربع الاخطاء الموزنه (MWSE).

جنان عباس

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Abstract

We produced a study in Estimation for Reliability of the Exponential distribution based on the Bayesian approach. These estimates are derived using Bayesian approaches. In the Bayesian approach, the parameter of the Exponential distribution is assumed to be random variable .we derived bayes estimators of reliability under four types when the prior distribution for the scale parameter of the Exponential distribution is: Inverse Chi-squar

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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

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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Publication Date

Sat Oct 01 2022

Journal Name

Environmental Advances

Stability and performance studies of emulsion liquid membrane on pesticides removal using mixture of Fe3O4Â nanoparticles and span80

The current study investigated the impact of nonionic surfactant span 80 in the existence of Fe3O4 magnetic nanoparticles on the emulsification of mixture of kerosene as petroleum based organic solvents and corn oil as a green diluent in the ratio 1:1

HCl was used as internal phase and the stability of the emulsion was carried out. The proposed Pickering emulsion liquid membrane has been exploited to investigate it is ability in the extraction of Abamectin pesticides from aqueous solution without utilizing carrier agent. Further

the effects of experimental parameters on extraction efficiency and emulsion stability such as

homogenizer speed

emulsification speed

contact time

Fe3O4-Span 80 ratios

HCL concentration

internal to membrane volume ratio (I/O) and pH of the external feed solution were carried out. The results showed that more than 99% of Abamectin could be extracted at 10 min contact time with a minimum breakage percent of 0.52% at the optimal conditions. The kinetic of the extraction were studied and the mass transfer coefficient was found to be for external phase () of 1.2

interfacial reaction rate constant () of 5.83 and the overall mass transfer coefficient () of 3.91 . The results of recyclability of the PELM revealed that the emulsion stability and extraction efficiency was nearly unchanged after three cycles.

Ahmed A.

Noor Q.

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