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Derivation of Embedded Diagonally Implicit Methods for Directly Solving Fourth-order ODEs

EDIRKTO, an Implicit Type Runge-Kutta  Method of Diagonally Embedded pairs, is a novel approach presented in the paper that may be used to solve 4th-order ordinary differential equations of the form . There are two pairs of EDIRKTO, with three stages each: EDIRKTO4(3) and EDIRKTO5(4). The derivation techniques of the method indicate that the higher-order pair is more accurate, while the lower-order pair provides superior error estimates. Next, using these pairs as a basis, we developed variable step codes and applied them to a series of -order ODE problems. The numerical outcomes demonstrated how much more effective their approach is in reducing the quantity of function evaluations needed to resolve fourth-order ODE issues.

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Publication Date
Thu Feb 07 2019
Journal Name
Iraqi Journal Of Laser
Investigation of Size-dependent Nonlinearity of Ag Nano-Fluids using Self-defocusing Technique

In this work, the effect of different particle size on the nonlinear optical properties of silver nanoparticles in de-ionized water was studied. The experimental observation of the far field diffraction patterns by CCD camera in two and three dimensions. The maximum change of nonlinear refractive index and the relative phase shift were calculated. The self-defocusing technique was used with a continuous-wave radiation from DPSS Blue laser .The wavelength is 473 nm with an output power of 270 mW. All the Ag colloids samples containing the sizes 15, 30, 50, and 70 nm of silver nanoparticles used in the study were chemically prepared. It was found that the nonlinear refractive index is a particle size dependent and of the order of 10-7 cm2/

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Effect of Thickness and Thermal Annealing on Optical Properties of Sb Thin films

Antimony (Sb) films are fabricated by depositing (Sb) on glass substrates at room
temperature by the method of vacuum evaporation with thickness (0.25 and 0.51m),
with rate of deposition equal to (2.77Å/sec), the two samples are annealed in a
vacuum for one hour at 473K. The optical constants which are represented by the
refractive index (n), extinction coefficient (k) were determined from transmittance
spectram in the near Infrared(2500-3500 )nm regions. The tests have been shown
that the optical energy gap increases with increasing of annealing temperature for
the two samples.

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Publication Date
Tue Sep 01 2009
Journal Name
Al-khwarizmi Engineering Journal
Characterization of Metal Dispersion of Some Naphtha Reforming Catalysts by Methylcyclohexane Dehydrogenation Reaction

The dispersion of supported Pt and Pt–Ir reforming catalysts have been studied, after treatment with oxidative and reducing atmosphere. Methylcyclohexane dehydrogenation reaction in the absence of hydrogen was used as a test reaction. An attempt was made to relate the behavior of the catalysts upon subject to reaction, to the dispersion of the same type of catalysts upon treatment with similar atmosphere and temperatures which appeared in literature. The total conversion of reaction can be explained by a change in metal dispersion. Thus, methylcyclohexane dehydrogenation reaction appears to be a really “structure sensitive” reaction.

      The toluene yield increases as the oxidation temperature i

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Publication Date
Sat Jan 01 2022
Journal Name
المجلة العراقية لعلوم التربة
EFFECT OF UREA AND NPK FERTILIZER ON SOME PHYSIOLOGICAL CHARACTERISTICS OF WATERCRESS PLANT

The experiment was conducted in the botanical garden of the Department of Life Sciences/ College of Education for Pure Sciences Ibn Al-Haitham for the growing season 2021- 2020 in order to study the effect of urea and NPK fertilizer on some physiological characteristics of watercress plants. The seeds were sown on 10/15/2020 in plastic bags weighing 10 kg of soil. The shoots were sprayed with urea at three concentrations (0, 50, 100) mg L-1 in two sprays, and NPK fertilizer was added as a ground addition at three levels (0, 100, 200) kg H-1 in two sprays in conjunction with urea spraying. The results of the study showed a significant effect for the single treatments. The treatment of spraying with urea at a concentration of 50 mg l-1 . was

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Publication Date
Thu Jun 15 2023
Journal Name
Journal Of Legal Sciences
The Right of the Head of State to Veto Bills : A Comparative Study

The legislative authority's approval of a project is not enough, as the state president's approval is crucial. If the president doesn’t approve the project within the period determined by the constitutions, it shall be returned to the parliament for further discussion and voting, Either by an ordinary or strict majority, according to the provisions of the constitutions of the countries. To explain the right of objection, we explained, in the First Topic, the definition and distinction, and we explained, in the Second Topic, the legal nature of the right of objection, its kinds, and its constitutional base. In the Third Topic, we discussed the conditions of the right of objection, its procedures, and its effects. Then, the conclusion th

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Publication Date
Sat Jun 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Impact of the career path requirements in determining the type of training program

The research deals with the important and modern two subject (career path and the type of training program), and tries to find identify the extent of the impact of the requirements of a career path in determining the type of training program in the Ministry of Oil.

In order to achieve the aim of the research was the formulation of the following hypothesis: the impact of the requirements of the career path a meaningful moral influence in determining the type of training program.

The survey was adopted in the search, and sample consisted of (75) people were a factor in the Oil Ministry of People's managers and officials and staff, and used the questionnaire as an es

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Publication Date
Wed Jan 01 2014
Journal Name
Journal Of The College Of Languages (jcl)
The Allegorical Use of the Rituals of Hunting in Galway Kinnell's "The Bear"

Galway Kinnell (1927-) is considered as one of the most important contemporary American poets who brought about a drastic change in the American poetry of the nineteen sixties. Kinnell's poetry is characterized by being simple in style and deep in content. Poetry for him is a means through which he perceives the inner levels of consciousness in an attempt to comprehend the depths of the American self. Therefore, he writes narrative poems in which the emphasis is not on the rhetorical effects, but on the inner transformations through which the poet goes.

"The Bear" (1968) is typical of Kinnell's introspective poetry. It takes the form of a journey in which the rituals of hunting are used allegorically to embody the state of the sp

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Publication Date
Tue Jun 11 2019
Journal Name
Al-kindy College Medical Journal
Conservative Treatment of Tuberculosis of the Spine in Patients with no Neurological Deficits

Background: Patients who have both neurological impairment and kyphotic deformity can be treated medically, and this treatment can be achieved with anti-tuberculous drugs alone.

Objective: To evaluate conservative medical management of patients with tuberculosis of the spine (Pott disease). The prognostic significance of various clinical, radiological, and long-term follow-up findings in these patients was also evaluated.

Methods: Between January 2009 and January 2018 data were collected prospectively at The Neurosciences Hospital/ Baghdad/ Iraq in 44 patients with Pott disease in the thoracic and lumbar spine. These patients had no major neurological deficits or

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Publication Date
Tue Mar 01 2022
Journal Name
Iraqi Journal Of Physics
Effect of Carbon Nanoparticles on the Performance Efficiency of a Solar Water Heater

Carbon nanoparticles are prepared by sonication using carbon black powder. The surface morphology of carbon black (CB) and carbon nanoparticles (CNPs) is investigated using scanning electron microscopy (SEM). The particles size ranges from 100 nm to 400 nm for CB and from 10 nm to 100 nm for CNPs. CNPs and CB are mixed with silicon glue of different ratios of 0.025, 0.2, 0.05, and 0.1 to synthesis films. The optical properties of the prepared films are investigated through reflectance and absorbance analyses. The ratio of 0.05 for CNPs and CB is the best for solar paint because of its higher solar water heater efficiency and is then added to the silicon glue . Temperature of cold water and temperature of hot water in storage tank were ta

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Publication Date
Tue Nov 01 2016
Journal Name
Journal Of Engineering
Modeling of Comparative Performance of Asphalt Concrete under Hammer, Gyratory, and Roller Compaction

The main objective of this study is to develop predictive models using SPSS software (version 18) for Marshall Test results of asphalt mixtures compacted by Hammer, Gyratory, and Roller compaction. Bulk density of (2.351) gm/cc, at OAC of (4.7) % was obtained as a benchmark after using Marshall Compactor as laboratory compactive effort with 75-blows. Same density was achieved by Roller and Gyratory Compactors using its mix designed methods.

A total of (75) specimens, for Marshall, Gyratory, and Roller Compactors have been prepared, based on OAC of (4.7) % with an additional asphalt contents of more and less than (0.5) % from the optimum value. All specimens have been subjected to Marshall Test. Mathematical model

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