The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions. Using the matrix of Wang-Ball polynomials, the main singular perturbation problem is converted into linear algebraic equation systems. The coefficients of the required approximate solution are obtained from the solution of this system. The residual correction approach was also used to improve an error, and the results were compared to other reported numerical methods. Several examples are used to illustrate both the reliability and usefulness of the Wang-Ball operational matrices. The Wang Ball approach has the ability to improve the outcomes by minimizing the degree of error between approximate and exact solutions. The Wang-Ball series has shown its usefulness in solving any real-life scenario model as first- or second-order differential equations (DEs).
The research includes a description of the controversial issues mentioned by Ibn Al-Anbari in his book between the Egyptians, Basra and Kufa. The reason for choosing the book is because it
The current study aims to examine the level of problems faced by university students in distance learning, in addition to identify the differences in these problems in terms of the availability of internet services, gender, college, GPA, interactions, academic cohort, and family economic status. The study sample consisted of (3172) students (57.3% females). The researchers developed a questionnaire with (32) items to measure distance learning problems in four areas: Psychological (9 items), academic (10 items), technological (7 items), and study environment (6 items). The responses are scored on a (5) point Likert Scale ranging from 1 (strongly disagree) to 5 (strongly agree). Means, standard deviations, and Multivariate Analysis of Vari
... Show MoreThe study aims to provide a Suggested model for the application of Virtual Private Network is a tool that used to protect the transmitted data through the Web-based information system, and the research included using case study methodology in order to collect the data about the research area ( Al-Rasheed Bank) by using Visio to design and draw the diagrams of the suggested models and adopting the data that have been collected by the interviews with the bank's employees, and the research used the modulation of data in order to find solutions for the research's problem.
The importance of the study Lies in dealing with one of the vital topics at the moment, namely, how to make the information transmitted via
... Show Morein this paper fourth order kutta method has been used to find the numerical solution for different types of first liner
The research deals with a historical study of the materials written by the manuscript since the beginning of its inception in the Arab era in the pre-Islamic era and the origin of Islamic and the following in successive eras.It is a variety of materials ,including Al-Asab,karanif ,parchment ,leather and many other
The scholars of Arabic - may God reward them with the reward of the doers of good - laid down the rules of this language, the cycle of which never ceases to dazzle minds, so they adopted principles according to which they judged the denomination of this word, and the accusative of that, and determined in its light the worker and the done, until they reached us the rules and foundations of our dear language, and it is obvious that they differ. The origins of grammarians from one school of thought to another, or from one world to another, especially with regard to the subsidiary rules, and this difference was clearly reflected in what we have received from the rules, as we find a difference in the rulings that they restricted to the one fa
... Show MoreThe research aims to identify the predominant habits and behaviors promoted by American action films frequently streamed on Cinemana website—a specialized platform for streaming films and series as the most followed platform. This platform offers a range of film genres, including the latest releases, free of charge. Using a simple random sampling method, twenty action films were selected for the study. Consequently, the researcher opted for a descriptive-analytical approach, deemed most appropriate for achieving the research objectives, employing content analysis as a tool to scrutinize these films. The findings highlighted that behavioral habits associated with scenes of violence, destruction, sabotage, revenge
... Show MoreThe study intends to explore the obstacles that encounter a program of rehabilitating released prisoners as perceived by prisoners themselves in tubas' province. To this end, the researcher used a questionnaire as an instrument which was applied on (150) prisoner had chosen randomly to collect the study data. The findings revealed no significant differences among obstacles the encounter program regarding to the following variables: age, detention period, and number of detention, additionally, the findings found that there is a variance of obstacles mean according to the prisoners themselves, rehabilitation program, and the facility of that program.
This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro-differential equations. The performance of generalized spline functions are illustrated in test examples
This study proposes a mathematical approach and numerical experiment for a simple solution of cardiac blood flow to the heart's blood vessels. A mathematical model of human blood flow through arterial branches was studied and calculated using the Navier-Stokes partial differential equation with finite element analysis (FEA) approach. Furthermore, FEA is applied to the steady flow of two-dimensional viscous liquids through different geometries. The validity of the computational method is determined by comparing numerical experiments with the results of the analysis of different functions. Numerical analysis showed that the highest blood flow velocity of 1.22 cm/s occurred in the center of the vessel which tends to be laminar and is influe
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