Preferred Language
Articles
/
ijs-8672
Numerical Approximations of a One-Dimensional Time-Fractional Semilinear Parabolic Equation
...Show More Authors

     The time fractional order differential equations are fundamental tools that are used for modeling neuronal dynamics. These equations are obtained by substituting the time derivative of order  where , in the standard equation with the Caputo fractional formula. In this paper, two implicit difference schemes: the linearly Euler implicit and the Crank-Nicolson (CN) finite difference schemes, are employed in solving a one-dimensional time-fractional semilinear equation with Dirichlet boundary conditions. Moreover, the consistency, stability and convergence of the proposed schemes are investigated. We prove that the IEM is unconditionally stable, while CNM is conditionally stable. Furthermore, a comparative study between these two schemes will be conducted via numerical experiments. The efficiency of the proposed schemes in terms of absolute errors, order of accuracy and computing time will be reported and discussed.

Scopus Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Sun Mar 01 2020
Journal Name
Gazi University Journal Of Science
Reliable Iterative Methods for Solving the Falkner-Skan Equation
...Show More Authors

View Publication
Crossref (7)
Crossref
Publication Date
Mon Jan 30 2023
Journal Name
Iraqi Journal Of Science
Design and Creating a Specific Neutron Irradiation Instrument to Decrease the User’s Radiation Exposure Time
...Show More Authors

      A specialized irradiation instrument "created instrument" was  designed and created from various kinds and sizes of available plastic household-waste materials. In addition, a neutron beam collimator with a lid was designed  and implemented. The collimator is with dimensions of 25 cm in height and 10 cm in inner diameter, while the lid dimensions are 11.5 cm height and outer diameter of 9.9 cm  to perfectly match the inner diameter of the collimator with the possibility of movement (opening and closing), and also the shielding of the radioactive 241Am/Be neutron source with a recent activity of 37.5 mCi.

To investigate the efficiency of the "created instrument", ten hydrogenous material samples (ordinary p

... Show More
View Publication Preview PDF
Scopus (3)
Crossref (1)
Scopus Crossref
Publication Date
Mon Dec 20 2021
Journal Name
Baghdad Science Journal
Numerical Analysis of Least-Squares Group Finite Element Method for Coupled Burgers' Problem
...Show More Authors

In this paper, a least squares group finite element method for solving coupled Burgers' problem in   2-D is presented. A fully discrete formulation of least squares finite element method is analyzed, the backward-Euler scheme for the time variable is considered, the discretization with respect to space variable is applied as biquadratic quadrangular elements with nine nodes for each element. The continuity, ellipticity, stability condition and error estimate of least squares group finite element method are proved.  The theoretical results  show that the error estimate of this method is . The numerical results are compared with the exact solution and other available literature when the convection-dominated case to illustrate the effic

... Show More
View Publication Preview PDF
Scopus (2)
Crossref (1)
Scopus Clarivate Crossref
Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Theoretical Study of Fatigue Crack Growth to 2SiC3Ti Generalized Paris Equation)
...Show More Authors

    A theoretical study was done in this work for Fatigue. Fatigue Crack Growth (FCG) and stress factor intensity range for Ti2 SiC 3 .  It also includes Generalized Paris Equation and the Fulfillment of his equation which promise that there is a relation between parameters C and n.          Simple Paris Equation was used through which we concluded the practical values of C and n and compared them with the theoretical values which have been concluded by Generalized Paris Equation.           The value of da/dN and ∆K for every material and sample were concluded and compared with the data which was used in the computer p

... Show More
View Publication Preview PDF
Publication Date
Tue Apr 04 2023
Journal Name
Results In Nonlinear Analysis
The fractional integrodifferential operator and its univalence and boundedness features according to Pre-Schwarzian derivative structure
...Show More Authors

Complex-valued regular functions that are normalized in the open unit disk are vastly studied. The current study introduces a new fractional integrodifferential (non-linear) operator. Based on the pre-Schwarzian derivative, certain appropriate stipulations on the parameters included in this con-structed operator to be univalent and bounded are investigated and determined.

View Publication Preview PDF
Scopus Crossref
Publication Date
Sun Jul 31 2022
Journal Name
Iraqi Journal Of Science
Reinterpretation of the two-dimensional seismic reflection of the Afaq structure region, central Iraq
...Show More Authors

This study deals with interpretation of stratigraphic and structural of Afaq structure area central Iraq in Qadisiyah province, about 25 km north of Diwaniyah, by using 2D seismic data. Synthetic traces are prepared by using available data of the well (WK-1)using a petrol software program to define and picking the reflectors on the seismic section. Structure interpretation includes picking a top of Zubair Formation (Late Cretaceous), while stratigraphic interpretation includes two reflectors Yamama and Gotnia Formation (Upper-Late Jurassic). Structure interpretation of Zubair Formation shows that the area a several minors and a short extend of faults, the fault system extends (NE-SW) direction. The structural interpretation of time and d

... Show More
View Publication Preview PDF
Scopus Crossref
Publication Date
Mon Feb 20 2012
Journal Name
North Africa Technical Conference And Exhibition
Comprehensive Model for Flash Calculations of Heavy Oils Using the Soave - Redlich - Kwong Equation of State
...Show More Authors
Abstract<p>One of the main techniques to achieve phase behavior calculations of reservoir fluids is the equation of state. Soave - Redlich - Kwong equation of state can then be used to predict the phase behavior of the petroleum fluids by treating it as a multi-components system of pure and pseudo-components. The use of Soave – Redlich – Kwon equation of state is popular in the calculations of petroleum engineering therefore many researchers used it to perform phase behavior analysis for reservoir fluids (Wang and Orr (2000), Ertekin and Obut (2003), Hasan (2004) and Haghtalab (2011))</p><p>This paper presents a new flash model for reservoir fluids in gas – oil se</p> ... Show More
Scopus (1)
Crossref (9)
Scopus Crossref
Publication Date
Thu Aug 31 2017
Journal Name
Journal Of Engineering
Urban agriculture as one of the ecological applications of the regenerative city
...Show More Authors

Recently, several concepts and expressions have emerged that have often preoccupied the world . around the concept of environment and sustainability. This is due to the negative and irresponsible impact of man and his innovations in various industrial and technological fieldsthat have damaged the natural environment. Architecture and cities at the broader level are some of the man made components that caused these negative impacts and in the same time affected by them. What distinguishes architectural and urban projects is the consumption of large . quantities of natural resources and production larger amounts of waste and pollution, along the life of these projects. At the end of the twentieth century and the beginning of the twenty-fir

... Show More
View Publication Preview PDF
Publication Date
Fri Nov 09 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Review of Histopathological Diagnoses of One Year Appendectomy Specimens in Sulaimani City
...Show More Authors

Objective: To review and see the pattern of histopathological diagnoses of one year appendectomy specimens.
Methodology: This retrospective study was carried in Sulaimani Teaching Hospital over the period of one year (from 1st
of January to 31st of December 2009). All pathological reports were reviewed retrospectively for patient’s age, sex,
histopathological diagnosis and operative findings (if present). Histopathological diagnoses then were classified into
either positive or negative for acute inflammation. Any associated findings or any surgical specimen removed with the
appendix was recorded. The obtained data were analyzed by using the statistical package social sciences (SPSS) version
19; with Chi square to test

... Show More
View Publication Preview PDF
Publication Date
Wed Jul 29 2020
Journal Name
Iraqi Journal Of Science
Influence of Inclined MHD on Unsteady Flow of Generalized Maxwell Fluid with Fractional Derivative between Two Inclined Coaxial Cylinders through a Porous Medium
...Show More Authors

"This paper presents a study of inclined magnetic field on the unsteady rotating flow of a generalized Maxwell fluid with fractional derivative between two inclined infinite circular cylinders through a porous medium. The analytic solutions for velocity field and shear stress are derived by using the Laplace transform and finite Hankel transform in terms of the generalized G functions. The effect of the physical parameters of the problem on the velocity field is discussed and illustrated graphically.

View Publication Preview PDF
Scopus (3)
Scopus Crossref