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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
Wed Jul 24 2024
Journal Name
Annals Of Parasitology
In vitro efficacy of different concentrations of lupeol on old world Leishmania donovani

Leishmaniosis is a tropical neglected parasitic disease that is endemic in many countries, including Middle East, with no existing effective vaccines. The bite of female sand-fly transmits the causative agent, Leishmania spp., to humans. High toxicity, resistance and treatment failure of the available chemotherapy against visceral leishmaniosis demands the investigation of new anti-leishmanial compounds. Lupeol is a form of triterpene isolated from several medicinal plants and possesses an antimicrobial property. In this study, cytotoxic effect of lupeol was screened against the mammalian amastigotes form and insect promastigote form of Leishmania donovani, following three cycles of incubation at different concentrations by MTT assay. Resul

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Publication Date
Mon Nov 01 2021
Journal Name
International Journal Of Nonlinear Analysis And Applications
Solution of Riccati matrix differential equation using new approach of variational ‎iteration method

To obtain the approximate solution to Riccati matrix differential equations, a new variational iteration approach was ‎proposed, which is suggested to improve the accuracy and increase the convergence rate of the approximate solutons to the ‎exact solution. This technique was found to give very accurate results in a few number of iterations. In this paper, the ‎modified approaches were derived to give modified solutions of proposed and used and the convergence analysis to the exact ‎solution of the derived sequence of approximate solutions is also stated and proved. Two examples were also solved, which ‎shows the reliability and applicability of the proposed approach. ‎

Publication Date
Sun Oct 01 2023
Journal Name
Solid State Communications
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Publication Date
Mon Jan 01 2018
Journal Name
Asian Journal Of Chemistry
Levels and Distribution of Trace Metals in Surface Soils of Al-Diwaniya, Iraq

In this work, monitoring of monthly variation (from May 2016 to October 2016) in the concentration of the metals (Co, Zn, Cd, Pb, Ni and Fe) from Al-Diwaniya city of Iraq. Investigation about the pollution with these metals was achieved from five selected sites locate in study area by flame atomic absorption spectroscopy. The results showed a wide variation in the levels of heavy metals from site to site and from month to month. A total of 180 surface soil samples were analyzed to detecting the pollution with selected samples. The resultsshowed that the highest concentration with Ni was 6.290 mg kg-1 while the lowest concentration detected with Ni was 0.080 mg kg-1. The results of pollution index (enrichment factor, contamination factor, po

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Publication Date
Sun Mar 05 2017
Journal Name
Baghdad Science Journal
Synthesis and Modification of Some New Transition Metal Complexes of Poly (vinyl chloride)

Theligand4-[5-(2-hydoxy-phenyl)- [1,3,4- thiadiazole-2- ylimino methyl]-1,5-dimethyl -2-phenyl-1,2-dihydro-pyrazol-3-one [HL1] is prepared and characterized. It is reacted with poly(vinyl chloride) (PVC) in THF to form the PVC-L compounds ,PVC-L interacted with ions of transition metals to form PVC-L-MII complexes .All prepared compounds are characterized by FTIR spectroscopy, u.v-visible spectroscopy, C.H.N.S. analysis and some of them by 1HNMR

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Publication Date
Mon Jan 13 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The evaluation of the role of the information system in reducing tax evasion

This research attempts to evaluate the role of the information system by highlighting its importance in providing date and information to the tax administration the process of tax accounting for those who are subject to income tax whether they are individuals or companies where the effective information system provides accurate and reliable information in a timely manner.

At the theoretical part of the research, the research approaches the problem of the research represented in that whether the information system, applied in the General Commission for Taxes, is capable of achieving its role in reducing the phenomenon of tax evasion. The existence of a set of things which in the Commission may lead to increase tax evasion by taxpa

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Publication Date
Wed Nov 01 2023
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Possible Effects of Vitamin D3 and Levofloxacin on Selected Hematology Parameter of Rats

Vitamin D is a fat-soluble vitamin with antioxidant and DNA protecting properties , Levofloxacin is a member of the fluoroquinolone drug class, Its broad-spectrum bactericidal effect affects both Gram-positive and Gram-negative bacteria.

The goal of the study is to analyze the haematology analysis in rats received levofloxacin and show the preventive impact of vitamin D3 by analyzing the haematology parameters: packed cell volume (PCV), mean corpuscular hemoglobin concentration(MCHC),haemoglobin (HB), red blood cell (RBC), mean corpuscular volume (MCV),meancorpuscular haemoglobin(MCH), WBC ,differential WBC, and Platelets.

The study included 42 rats divided into 6 groups each group 7 rats. group I negative control

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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of Engineering
Serviceability of Post-fire RC Rafters with Openings of Different Sizes and Shapes

This study deals with the serviceability of reinforced concrete solid and perforated rafters with openings of different shapes and sizes based on an experimental study that includes 12 post-fire non-prismatic reinforced concrete beams (solid and perforated). Three groups were formed based on heating temperature (room temperature, 400 °C, and 700 °C), each group consisting of four rafters (solid, rafters with 6 and 8 trapezoidal openings, and rafter with eight circular openings) under static loading. A developed unified calculation technique for deflection and crack widths under static loading at the service stage has been provided, which comprises non-prismatic beams with or without opening exposed to flexure concentra

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Publication Date
Tue Aug 15 2023
Journal Name
Al-academy
Usage of the visual elements in the interior designing of indoor swimming pools

The research specializes in (Usage of the visual elements in the interior designing of indoor swimming pools), the research seeks to provide a study that contributes to providing scientific and knowledge material, as a reference for researchers, students of interior design and architecture, and companies constructing indoor swimming pools.
The objective research is to detect the actual state of the interior design of the indoor swimming pools, and recognize the most important standards and techniques used in its design to provide appropriate design solutions if needed also Proposing a development proposals for the interior design of indoor swimming pools, the theoretical framework of this study, included two sections, The first one ta

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Publication Date
Thu Dec 01 2022
Journal Name
Journal Of Engineering
Effect of Diameter of Micropile on the Minaret Behavior during Earthquake, Virtual study

This study aims to suggest a technique for soil properties improvement of AL- Kadhimin shrine Minaret and to support the foundation, which has a tilt of roughly 80 cm from the vertical axis. The shrine of the AL- Kadhimin is made up of four minarets with two domes set in a large courtyard. The four minarets have skewed to varying degrees due to uncontrolled dewatering inside the shrine in recent years. However, the northeast minaret was the most inclined due to its proximity to the well placed inside shrine courtyard. When the well near the minaret is operated, the water level drops, increasing the effective stresses of the soil and causing differential settling of the minaret foundation. To maintain the minaret's foundation from potenti

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