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Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
Abstract<p>In this paper, two meshless methods have been introduced to solve some nonlinear problems arising in engineering and applied sciences. These two methods include the operational matrix Bernstein polynomials and the operational matrix with Chebyshev polynomials. They provide an approximate solution by converting the nonlinear differential equation into a system of nonlinear algebraic equations, which is solved by using <italic>Mathematica</italic>® 10. Four applications, which are the well-known nonlinear problems: the magnetohydrodynamic squeezing fluid, the Jeffery-Hamel flow, the straight fin problem and the Falkner-Skan equation are presented and solved using the proposed methods. To illustrate the accuracy and efficiency of the proposed methods, the maximum error remainder is calculated. The results shown that the proposed methods are accurate, reliable, time saving and effective. In addition, the approximate solutions are compared with the fourth order Runge-Kutta method (RK4) achieving good agreements.</p>
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Publication Date
Wed Jun 30 2021
Journal Name
College Of Islamic Sciences
The Economic Role of Sultan Al-Nasir Muhammad Ibn Qalawun in Egypt and the Levant Documentary Study through Writings and Inscriptions

The people lived under Mamluk rule, distress, poverty, famines, oppression of princes, rulers, And their domination and he always wished for a just ruler to relieve his misery, and remove the injustice

from him, so they found in Al-Nasser Mohammed tend to establish justice.

When Al-Nasser ascended the throne of the Sultanate, there was a rise or fall in prices, so he pursued Prices will end and punish those

who come out for it. And you talk about this search for a relationship

Sultan Al-Nasser with the poor classes in society and his keenness to pursue their affairs was compassionate On them, mer

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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Intra Specific Relationships and Biochemical Composition of Laportea Aestuans (L.) Chew, Sida Rhombifolia L. And Commelina Verginica L. in Lagos State

Laportea aestuans L. (Chew), Commelina virginica (L.) and Sida rhombifolia (L.) are common wild plants used in treating several ailments including diarrhea, dysentery, hernia, oedema, ulcers and many more in traditional African medicine especially, Nigeria. The potentials of Random Amplified polymorphic DNA (RAPD) primers in delimiting intra-specific variation in L. aestuans, C. virginica and S. rhombifolia was assessed using three RAPD primers. Plant and soil samples were collected from 19 local government areas in Lagos State and assessed for genetic and biochemical relationships. A total of 56 bands were produced of which 44 were polymorphic. Maximum number of bands (21) was produced by OPY

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Publication Date
Wed Jul 01 2009
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Comparative study of CA19-9 levels as tumor marker in sera and tissues of patients with stomach, colon and rectum cancers

Background: CA19-9 is among a group of mucin glycoprotein sialosyl lewis antigen (SLA) having come to be recognized as a circulating cancer associated antigen for gastrointestinal cancer. Basic research into cancer causation will be a powerful determinant of intervention in the transformation process reinforcing the need for developing effective molecular tumor biomarkers for early detection of malignant evolution in tissues of organs i.e. stomach, colon and rectum. In this study, we make a comparsion between the levels of CA19-9 in sera and tissues of patients with these diseases to see if their levels are proportional and if it is a tumor marker that affect with malignant cells in tissues of these org

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Publication Date
Sun Jul 02 2023
Journal Name
Iraqi Journal Of Science
Brucella melitensis Rev.1 live attenuated Vaccine and its DNA induced IFN- γ and anti-ds DNA antibodies production in rats

Brucellosis is one of the five common bacterial zoonoses in the world caused by
organisms belonging to the genus Brucella. Immune recognition of bacterial
infection may contribute to cytokine, as well as antibody production that are
characteristic of innate and adaptive responses. In this study, the presence of
attenuated live Brucella melitenses Rev1 bacteria or its DNA induced the immune
system to produce IFN-γ and anti-ds DNA antibody. In respect to IFN-γ released,
the B. melitensis Rev 1 attenuated live vaccine was able to stimulate the immune
system more than the DNA (P≤0.05). Such finding could be attributed to the whole
attenuated bacteria that have immunogenic factors other than the DNA like cell wall<

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Publication Date
Mon Jan 28 2019
Journal Name
Iraqi Journal Of Science
Fish Assemblage and Impact of Oscillation Between Drowning and Drought on Fish Size-Spectrum in the Al-Chibyaish Marsh, Southern Iraq

The present study was implemented in the period from January to December 2017, to assess the assemblage of fish, with the effects of some environmental factors and knowledge the impacts of annual periodic fluctuations between drowning and drought on the abundance and size-spectrum on the fish community in Al-Cibyaish marsh. Water temperature ranged between 13 ͦ C in January to 35 ͦ C in July, salinity from 2.90 PSU (Practical salinity unite) in February to 4.14 PSU in August. Hydrogen ion ranged between 7.60 in July to 8.30 in February. The present study appears contribution of environmental variables in the distribution, widespread and occurrence of fish assemblage in the Al-Chibyaish marsh. A total of 3294 specimens were collected re

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Publication Date
Fri Sep 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Characterization of Some Inorganic Compounds and Study their Effect in activity of Laccase Produced by Fungal isolate Pleurotus ostreatus

The new ligand(OBTMRZ),Bis[4-phenyl-3(2-propenyl)thio-1,2,4- triazole  -5yl] methane  was prepared and characterized by vibrational

 

,

 

,

 

spectra  and J>hysical methods,selected metals,which  were Cu11

 

Zn 11

 

Mn11,Co11,Fe"  and  Hg11   were  reacted   with  ligand   to &

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Publication Date
Tue Feb 01 2022
Journal Name
Journal Of African Earth Sciences
Lithofacies types, mineralogical assemblages and depositional model of the Maastrichtian–Danian successions in the Western Desert of Iraq and eastern Jordan

An integrated lithofacies and mineralogical assemblage was used to describe a depositional model and sequence stratigraphic framework of the Maastrichtian–Danian succession in the Western Desert of Iraq and eastern Jordan. Fifteen lithofacies types were grouped into three associations recognized in a distally steepened ramp characterized by an apparent, distinct increase in a gradient paleobathymetric deepening westward. The clay and nonclay minerals are dominated by smectite and palygorskite, with trace amounts of kaolinite, sepiolite, illite and chlorite. Meanwhile, quartz, calcite, dolomite, opal CT (Cristobalite - Tridymite), and apatite are the main nonclay minerals. The widely dominated smectite in the Western Phosphatic Basin of Ir

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Publication Date
Tue Aug 24 2021
Journal Name
Agronomy
Impact of Nitrogen Rate in Conventional and Organic Production Systems on Yield and Bread Baking Quality of Soft Red Winter Wheat

Soft red winter wheat (SRW) is characterized by high yield and relatively low protein content. In Kentucky, there is growing demand from local artisan bread bakers for regionally produced flour, requiring production of grain with increased protein content and/or strength. The objective of this two-year field experiment was to evaluate the effect of nitrogen (N) management on five cultivars of winter wheat on yield and bread baking quality traits of modern and landrace SRW cultivars (Triticum aestivum L.). All five cultivars were evaluated using two N application rates in conventional and organic production systems. All traits measured were significantly affected by the agricultural production system and N rate, although plant height

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Publication Date
Sat Jun 01 2019
Journal Name
Journal Of Economics And Administrative Sciences
Study and Analysis of the Factors that Affect the Efficiency of Small and Medium Enterprises in the Kingdom of Saudi Arabia

Encouraging micro-enterprises for comprehensive economic development are crucial to achieve the ambitious vision 2030 of the Kingdom of Saudi Arabia.

 Small and Medium enterprises are inputting around 15.5 per cent to GDP while 33 per cent contribution as a private sector to Saudi Arabia's gross domestic product (GDP). This study aims to identify the most important factors that affect the efficiency of small enterprises in Saudi Arabia. To accomplish this objective, the study was conducted for small projects via the comprehensive inventory method under the supervision of the Institute of Entrepreneurship. A total of 282 questionnaires were collected from entrepreneurs and the differentiation analysis

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Publication Date
Thu Feb 27 2020
Journal Name
Iraqi Journal Of Science
Disequilibrium Compaction, Fluid expansion and unloading effects: Analysis from well log and its pore pressure implication in Jay Field, Niger Delta

     Disequilibrium compaction, sometimes referred to as under compaction, has been identified as a major mechanism of abnormal pore pressure buildup in sedimentary basins. This is attributed to the interplay between the rate at which sediments are deposited and the rate at which fluids associated with the sediments are expelled with respect to burial depth. The purpose of this research is to analyze the mechanisms associated with abnormal pore pressure regime in the sedimentary formation. The study area “Jay field” is an offshore Niger Delta susceptible to abnormal pore pressure regime in the Agbada –Akata formations of the basin. Well log analysis and cross plots were applied to determine the unde

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