Preferred Language
Articles
/
dBY9_IoBVTCNdQwC1sYK
Efficient computational methods for solving the nonlinear initial and boundary value problems
...Show More Authors

In this paper, three approximate methods namely the Bernoulli, the Bernstein, and the shifted Legendre polynomials operational matrices are presented to solve two important nonlinear ordinary differential equations that appeared in engineering and applied science. The Riccati and the Darcy-Brinkman-Forchheimer moment equations are solved and the approximate solutions are obtained. The methods are summarized by converting the nonlinear differential equations into a nonlinear system of algebraic equations that is solved using Mathematica®12. The efficiency of these methods was investigated by calculating the root mean square error (RMS) and the maximum error remainder (𝑀𝐸𝑅n) and it was found that the accuracy increases with increasing degree of polynomial solutions (n). In addition, the convergence of the proposed approximate methods is given based on the Banach fixed point theorem.

Scopus Crossref
View Publication Preview PDF
Quick Preview PDF
Publication Date
Wed Jan 01 2025
Journal Name
Journal Of Animal Health And Production
The Control and Preventative Measures for the Health Problems of Pets
...Show More Authors

View Publication Preview PDF
Scopus (2)
Crossref (2)
Scopus Crossref
Publication Date
Tue Oct 01 2024
Journal Name
Journal Of Physics: Conference Series
The operational matrices for Elliptic Partial Differential Equations with mixed boundary conditions
...Show More Authors
Abstract<p>The purpose of this research is to implement the orthogonal polynomials associated with operational matrices to get the approximate solutions for solving two-dimensional elliptic partial differential equations (E-PDEs) with mixed boundary conditions. The orthogonal polynomials are based on the Standard polynomial (<italic>x<sup>i</sup> </italic>), Legendre, Chebyshev, Bernoulli, Boubaker, and Genocchi polynomials. This study focuses on constructing quick and precise analytic approximations using a simple, elegant, and potent technique based on an orthogonal polynomial representation of the solution as a double power series. Consequently, a linear </p> ... Show More
View Publication
Scopus (3)
Crossref (2)
Scopus Crossref
Publication Date
Sun Jul 12 2026
Journal Name
Journal Of Engineering
Computational Method for Unsteady Motion of Two-Dimensional Airfoil
...Show More Authors

A numerical method is developed for calculation of the wake geometry and aerodynamic forces on two-dimensional airfoil under going an arbitrary unsteady motion in an inviscid incompressible flow (panel method). The method is applied to sudden change in airfoil incidence angle and airfoil oscillations at high reduced frequency. The effect of non-linear wake on the unsteady aerodynamic properties and oscillatory amplitude on wake rollup and aerodynamic forces has been studied. The results of the present method shows good accuracy as compared with flat plate and for unsteady motion with heaving and pitching oscillation the present method also shows good trend with the experimental results taken from published data. The method shows good result

... Show More
View Publication
Publication Date
Thu Aug 13 2020
Journal Name
Journal Of Imaging
On Computational Aspects of Krawtchouk Polynomials for High Orders
...Show More Authors

Discrete Krawtchouk polynomials are widely utilized in different fields for their remarkable characteristics, specifically, the localization property. Discrete orthogonal moments are utilized as a feature descriptor for images and video frames in computer vision applications. In this paper, we present a new method for computing discrete Krawtchouk polynomial coefficients swiftly and efficiently. The presented method proposes a new initial value that does not tend to be zero as the polynomial size increases. In addition, a combination of the existing recurrence relations is presented which are in the n- and x-directions. The utilized recurrence relations are developed to reduce the computational cost. The proposed method computes app

... Show More
View Publication Preview PDF
Scopus (31)
Crossref (28)
Scopus Clarivate Crossref
Publication Date
Thu Aug 22 2019
Journal Name
Separation Science And Technology
Modification of Langmuir model for simulating initial pH and temperature effects on sorption process
...Show More Authors

Scopus (48)
Crossref (34)
Scopus Clarivate Crossref
Publication Date
Sun Jul 12 2026
Journal Name
Journal Of Physical Education
Designing and Standardizing two Dribbling Tests for the Initial selection of Individuals With Simple Mental Disabilities In Futsal
...Show More Authors

The game of football is one of the most popular games in the world because of its beauty in the hearts of its fans. From this position, the game of five football for people with simple mental disability has become as much attention to many other sporting events, so the researchers believe that the tests of basic skills match the level of individuals tested In terms of their age and mental ability, the technical aspects were adopted as a means of selecting those who are qualified to practice this game in the simplest form, so the importance of the research problem in designing and standardizing two dribbling skating tests for members of this category and It depends by training their cadres during the selection process. The research community

... Show More
View Publication Preview PDF
Publication Date
Mon Jan 01 2018
Journal Name
Journal Of Physical Education
Designing and Standardizing two Passing tests for the Initial selection of Individuals With Simple Mental Disabilities In Futsal
...Show More Authors

The five-a- Side Soccer for people with a minor mental disability has become as important as many other sporting events. Therefore, the researcher considers that the basic skills tests are suited to the level of the tested individuals in terms of their age and mental ability. The technical aspects were adopted as a means of selecting from They are qualified to practice this game in the simplest form, so show the importance of the problem of research through the design and codification of two tests of handling skills belonging to this category and adopted by the training cadres during the selection process. The research community for people with minor mental disabilities determines the male category of the mental and social disability instit

... Show More
View Publication Preview PDF
Publication Date
Fri Oct 23 2020
Journal Name
Biomed Research International
A Computational Model of the Brain Cortex and Its Synchronization
...Show More Authors

Obtaining the computational models for the functioning of the brain gives us a chance to understand the brain functionality thoroughly. This would help the development of better treatments for neurological illnesses and disorders. We created a cortical model using Python language using the Brian simulator. The Brian simulator is specialized in simulating the neuronal connections and synaptic interconnections. The dynamic connection model has multiple parameters in order to ensure an accurate simulation (Bowman, 2016). We concentrated on the connection weights and studied their effect on the interactivity and connectivity of the cortical neurons in the same cortical layer and across multiple layers. As synchronization helps us to mea

... Show More
View Publication
Crossref (2)
Scopus Clarivate Crossref
Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Emotional deprivation and its relation with the behavioral and nervous problems for adolescents
...Show More Authors

0

View Publication Preview PDF
Publication Date
Wed Jan 01 2020
Journal Name
Cogent Engineering
On the computational aspects of Charlier polynomials
...Show More Authors

View Publication
Scopus (39)
Crossref (36)
Scopus Clarivate Crossref