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Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences
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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
Fri Feb 08 2019
Journal Name
Iraqi Journal Of Laser
Photodynamic Therapy for Leiomyosarcoma: In vitro study
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Leiomyosarcoma (smooth muscle tumor) is a rare type of a malignant neoplasm of smooth
muscle. It is a resistant cancer, generally not very responsive to chemotherapy, radiationand surgery.The
aim of this study was to evaluate photodynamic therapy (PDT) as a possible basis for treatment using
(650 nm)diode laser with methyleneblue (MB) as a photosensitizer on leiomyosarcoma (LMS)cell line
(L20B) in vitro. The cytotoxic effects of 650nm diode laser 0.052 W/cm2 (power density) at different
exposure time (10, 20, and 30 min) with methylene blue at different concentrations (0.01% ,0.1 % ,1%)
was investigated on LMS cell line (L20 B). The cytotoxic effect of laser was increased with increasing
irradiation time for a certai

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Publication Date
Thu Nov 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
Requirements for achieving financial balance in Iraq
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The deficit of the federal budget and the structural imbalances suffered by the Iraqi economy has affected the direction of research towards suggesting steps and mechanisms can be relied upon in the near term to form a broader base of non-oil revenues aimed at achieving a balanced budget, and to proceed to reform the financial situation, In reducing their financial dictates, whether capital or operational, which lead to significant financial and economic consequences. This also requires that the Iraqi political elite have the real will, strategic vision and full awareness that the implementation of these reforms has potential social and economic effects, with long-term measures to be taken. The aim is not only to reform the finan

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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of The College Of Languages (jcl)
Failure of Comedy in Waiting for Godot
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Many critics suggest that Beckett’s early plays are comic because they focus their analyses on the use comic elements. Waiting for Godot is one of Beckett’s early plays, and it has been heavily analyzed and read as a comic text partly because its subtitle is “a tragicomedy in two acts” and also because of the comic techniques used in the play. The present paper, however, attempts to read the play as a piece in which comedy fails to produce any effects on the characters who remain apparently very desperate and frustrated throughout the play. The characters perform different comic acts, but they do not really feel amused or entertained. The paper suggests that the acts these characters put on stage are only means to pass t

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Publication Date
Sun Sep 01 2013
Journal Name
Applied Mechanics And Materials
Artistic Techniques for Developing Creativity in Design
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The design of future will still be the most confusing and puzzling issue and misgivings that arouse worry and leading to the spirit of adventures to make progress and arrive at the ways of reviving, creativity and modernism. The idea of prevailing of a certain culture or certain product in design depends on the given and available techniques, due to the fact that the computer and their artistic techniques become very important and vital to reinforce the image in the design. Thus, it is very necessary to link between these techniques and suitable way to reform the mentality by which the design will be reformed, from what has been said, (there has no utilization for the whole modern and available graphic techniques in the design proce

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Publication Date
Sun Oct 29 2023
Journal Name
Iraqi National Journal Of Nursing Specialties
General Social Function for Elderly in Geriatric Homes in Jordan
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Objectives: To assess general social factors for elderly in geriatric homes in Jordan.
Methodology: The study was conducted for clients residing in elderly homes. A purposive sample of (155)
residents were selected. Social resource scale by (Duck University Center) called (OARA) older adult resources
and services was used as tool for data collection. The questions extract data about family structure, patterns of
friends and visiting, availability of a confident, satisfaction with the degree of social interaction and availability
of a helper in the event of illness or disability and the program of trips in the houses.
Results: The findings revealed that the life expectancy for women is greater than for men. In respect to

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Publication Date
Fri Apr 04 2025
Journal Name
لارك
Difficulties in Forming Compound Sentences in Spanish for Arabic Speakers
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A sentence is a key part of Spanish grammar and serves as the fundamental unit in constructing discourse. However, foreign language learners, particularly Arabic speakers, may face complex aspects that hinder their understanding and correct use of sentences. Additionally, there are at least two linguistic approaches that describe the use of compound sentences: one considers the sentence as the basic unit for discourse analysis, while other studies, starting with Van Dijk (2003), emphasize the importance of understanding both the partial and holistic structure of discourse. Therefore, we consider the significance of reviewing the linguistic differences between the native language and Spanish as a potential cause of misunderstanding a

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Publication Date
Mon Jan 01 2018
Journal Name
Complexity
Complexity Measures for Quantifying Changes in Electroencephalogram in Alzheimer’s Disease
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Alzheimer’s disease (AD) is a progressive disorder that affects cognitive brain functions and starts many years before its clinical manifestations. A biomarker that provides a quantitative measure of changes in the brain due to AD in the early stages would be useful for early diagnosis of AD, but this would involve dealing with large numbers of people because up to 50% of dementia sufferers do not receive formal diagnosis. Thus, there is a need for accurate, low-cost, and easy to use biomarkers that could be used to detect AD in its early stages. Potentially, electroencephalogram (EEG) based biomarkers can play a vital role in early diagnosis of AD as they can fulfill these needs. This is a cross-sectional study that aims to demon

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Publication Date
Mon Jan 01 2007
Journal Name
Journal Of Al-nahrain University
STUDY FOR THE GROWTH RATE, VIABILITY AND MORPHOLOGICAL CHANGES OF LEISHMANIA TROPICA IN DIFFERENT CULTURE MEDIA
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This study included the estimation of growth rate, viability and morphological changes in different culture media (NNN, P-Y, RPMI- 1640, and Panmed). Promastigotes cultured in RPMI-1640 showed maximal growth rate after (2, 4, 6) days of cultivation (27.26 ± 0.05), (172.20 ± 0.1) and (343.81 ± 1.48) million parasites / ml for each day respectively, while P-Y media gave the highest mean of growth rat after (8 and 10) days of cultivation (307.16 ± 1.67) and (303.5 ± 4.96) million parasites / ml for each day respectively. P-Y medium showed the maximal percentage of viability after (2, 4, 6, 8, and 10) days of cultivation (99.76 ± 0.5) %, (98.30 ± 0.17) %, (96.1 ± 0.1) %, (92.5 ± 0.52) % and (87.26 ± 0.05) % for each day respectively.

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Publication Date
Mon Sep 15 2025
Journal Name
Alustath Journal For Human And Social Sciences
Searching for Meaning in a Chaotic World: An Analysis of Tina Howe’s Birth and After Birth
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Publication Date
Tue Dec 01 2020
Journal Name
Baghdad Science Journal
Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem
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       In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having Opial’s condition by using fixed point theorem deals with nonexpansive mapping defined on a set has normal structure. An application is provided to show the effectiveness of the obtained result.

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