Preferred Language
Articles
/
bsj-4619
Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
...Show More Authors

In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classification (2010):  45P05, 45G10, 47H99

Scopus Clarivate Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Tue Jun 30 2009
Journal Name
Al-kindy College Medical Journal
The Use of Myocardial Performance Index (Mpi) in Assessment of Heart Function
...Show More Authors

Background: Ejection fraction have been used frequently
for assessment of the left ventricular function, but can be
associated with errors in which myocardial performance
index have been used as another parameter to measure the
left ventricular function.
Objective: selecting another echocardiography parameter
for the assessment of myocardial in function instead of the
ejection fraction.
Methods: 160 patients referred to the echocardiogram unit
from the period december 2007 to august 2008 requesting
assessment of left ventricular function. After clinical
examination, routine blood tests; chest x-ray and
electrocardiographic recording have been completed. All
patients informed to come for this unit af

... Show More
View Publication Preview PDF
Publication Date
Mon Jul 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Exact Solutions for Minimizing cost Function with Five Criteria and Release Dates on Single Machine
...Show More Authors

     In this paper, we present a Branch and Bound (B&B) algorithm of scheduling (n) jobs on a single machine to minimize the sum total completion time, total tardiness, total earliness, number of tardy jobs and total late work with unequal release dates. We proposed six heuristic methods for account upper bound. Also to obtain lower bound (LB) to this problem we modified a (LB) select from literature, with (Moore algorithm and Lawler's algorithm).  And some dominance rules were suggested. Also, two special cases were derived. Computational experience showed the proposed (B&B) algorithm was effective in solving problems with up to (16) jobs, also the upper bounds and the lower bound were effective in restr

... Show More
View Publication Preview PDF
Crossref (1)
Crossref
Publication Date
Fri Nov 01 2013
Journal Name
East Asian Journal On Applied Mathematics
Free Boundary Determination in Nonlinear Diffusion
...Show More Authors
Abstract<p>Free boundary problems with nonlinear diffusion occur in various applications, such as solidification over a mould with dissimilar nonlinear thermal properties and saturated or unsaturated absorption in the soil beneath a pond. In this article, we consider a novel inverse problem where a free boundary is determined from the mass/energy specification in a well-posed one-dimensional nonlinear diffusion problem, and a stability estimate is established. The problem is recast as a nonlinear least-squares minimisation problem, which is solved numerically using the <italic>lsqnonlin</italic> routine from the MATLAB toolbox. Accurate and stable numerical solutions are achieved. For noisy data, inst</p> ... Show More
View Publication
Scopus (12)
Crossref (7)
Scopus Clarivate Crossref
Publication Date
Tue Jan 03 2023
Journal Name
College Of Islamic Sciences
The concept of tira according to Imam Al-Manawi in his book Fayd Al-Qadeer
...Show More Authors

Tira is a custom known to the Arabs since the pre-Islamic era. in the occurrence of good or evil. And from the pessimism: that the Arabs in the pre-Islamic era depended on birds, so if one of them went out for a matter, If he sees a bird flying to the right, he will believe in him and go on his journey and his need. The research aims to introduce Imam Al-Manawi and explain his saying in Al-Tira through his book Fayd Al-Qadeer.

View Publication Preview PDF
Publication Date
Thu Apr 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
Comparison Branch and Bound Algorithm with Penalty Function Method for solving Non-linear Bi-level programming with application
...Show More Authors

The problem of Bi-level programming is to reduce or maximize the function of the target by having another target function within the constraints. This problem has received a great deal of attention in the programming community due to the proliferation of applications and the use of evolutionary algorithms in addressing this kind of problem. Two non-linear bi-level programming methods are used in this paper. The goal is to achieve the optimal solution through the simulation method using the Monte Carlo method using different small and large sample sizes. The research reached the Branch Bound algorithm was preferred in solving the problem of non-linear two-level programming this is because the results were better.

View Publication
Crossref
Publication Date
Sat Sep 01 2012
Journal Name
Journal Of Economics And Administrative Sciences
New Approach for Solving Multi – Objective Problems
...Show More Authors

  There are many researches deals with constructing an efficient solutions for real problem having Multi - objective confronted with each others. In this paper we construct a decision for Multi – objectives based on building a mathematical model formulating a unique objective function by combining the confronted objectives functions. Also we are presented some theories concerning this problem. Areal application problem has been presented to show the efficiency of the performance of our model and the method. Finally we obtained some results by randomly generating some problems.

View Publication Preview PDF
Crossref
Publication Date
Mon Jan 28 2019
Journal Name
Iraqi Journal Of Science
Estimate the Two Parameters of Gamma Distribution Under Entropy Loss Function
...Show More Authors

In this paper, Bayes estimators for the shape and scale parameters of Gamma distribution under the Entropy loss function have been obtained, assuming Gamma and Exponential priors for the shape and scale parameters respectively. Moment, Maximum likelihood estimators and Lindley’s approximation have been used effectively in Bayesian estimation. Based on Monte Carlo simulation method, those estimators are compared depending on the mean squared errors (MSE’s). The results show that, the performance of the Bayes estimator under Entropy loss function is better than other estimates in all cases.   

View Publication Preview PDF
Publication Date
Thu Apr 01 2021
Journal Name
Biochemical And Cellular Archives
STUDY OF LYSYL OXIDASE-1 AND KIDNEY FUNCTION IN SERA OF IRAQI PATIENTS WITH DIABETIC NEPHROPATHY
...Show More Authors

This study aimed to compare lysyl oxidase-1 level in diabetic patients with and without renal dysfunction, that LOX-1 may be an indicator for the early stage of diabetic nephropathy (DN). In addition to finding it is a relationship with kidney functions in Iraqi diabetic patients with and without renal dysfunction. Blood was obtained from 25 healthy individuals as a control group (G1), 25 diabetic patients with renal dysfunction, and 25 diabetic patients without renal dysfunction. Age range 40-60 years for all subjects. BMI (25-27) Kg/m2 . The serum was used for the analysis of LOX-1, FBG, urea, creatinine and uric acid. Whole blood is used for the determination of HbA1C. Results of FBG and HbA1C revealed a significant increase in G2 and G

... Show More
Publication Date
Thu Mar 30 2023
Journal Name
Iraqi Journal Of Science
A Tri-Gene Ontology Migration Operator for Improving the Performance of Meta-heuristics in Complex Detection Problems
...Show More Authors

      Detecting protein complexes in protein-protein interaction (PPI) networks is a challenging problem in computational biology. To uncover a PPI network into a complex structure, different meta-heuristic algorithms have been proposed in the literature. Unfortunately, many of such methods, including evolutionary algorithms (EAs), are based solely on the topological information of the network rather than on biological information. Despite the effectiveness of EAs over heuristic methods, more inherent biological properties of proteins are rarely investigated and exploited in these approaches. In this paper, we proposed an EA with a new mutation operator for complex detection problems. The proposed mutation operator is formulated und

... Show More
View Publication Preview PDF
Scopus (2)
Scopus Crossref
Publication Date
Thu Mar 30 2023
Journal Name
Iraqi Journal Of Science
A Tri-Gene Ontology Migration Operator for Improving the Performance of Meta-heuristics in Complex Detection Problems
...Show More Authors

      Detecting protein complexes in protein-protein interaction (PPI) networks is a challenging problem in computational biology. To uncover a PPI network into a complex structure, different meta-heuristic algorithms have been proposed in the literature. Unfortunately, many of such methods, including evolutionary algorithms (EAs), are based solely on the topological information of the network rather than on biological information. Despite the effectiveness of EAs over heuristic methods, more inherent biological properties of proteins are rarely investigated and exploited in these approaches. In this paper, we proposed an EA with a new mutation operator for complex detection problems. The proposed mutation operator is formulate

... Show More
Scopus (2)
Scopus Crossref