This paper investigates an effective computational method (ECM) based on the standard polynomials used to solve some nonlinear initial and boundary value problems appeared in engineering and applied sciences. Moreover, the effective computational methods in this paper were improved by suitable orthogonal base functions, especially the Chebyshev, Bernoulli, and Laguerre polynomials, to obtain novel approximate solutions for some nonlinear problems. These base functions enable the nonlinear problem to be effectively converted into a nonlinear algebraic system of equations, which are then solved using Mathematica®12. The improved effective computational methods (I-ECMs) have been implemented to solve three applications involving nonlinear initial and boundary value problems: the Darcy-Brinkman-Forchheimer equation, the Blasius equation, and the Falkner-Skan equation, and a comparison between the proposed methods has been presented. Furthermore, the maximum error remainder () has been computed to prove the proposed methods' accuracy. The results convincingly prove that ECM and I-ECMs are effective and accurate in obtaining novel approximate solutions to the problems.
Legislative language is characterized by its complexity, specifically in the process of translating statutory terms from two quite different languages, and from totally two different legal systems as from Spanish into Arabic. The present study stresses the process of translating legislative terms used in Spanish wills into Arabic through high lightening the polysemy of such mentioned terms and explaining their use in other legislative grounds. Additionally, the present study elucidates, analyzes, underlines the difficulty and looks for the most appropriate procedures and techniques of translating some of the prominent inheritance expressions taking in account the legislative dif
... Show MoreThe current paper aims to study the different forms by which the theme of labyrinth imposes itself as a preferred narrative structure in the novels of the French writer Patrick Modiano. Theoretically speaking, the current research paper will limit itself to the theoretical framework of the textual poetics which relies on the study of literary texts without paying much attention, neither to the context, nor to the life of its author. The analysis of the strong and varied links that Modiano's novels establish with labyrinth represents a field which has not received adequate attention by the critical studies dedicated to this French writer. As it will be shown throughout the current paper, Modiano views labyrint
... Show MoreWe propose a novel strategy to optimize the test suite required for testing both hardware and software in a production line. Here, the strategy is based on two processes: Quality Signing Process and Quality Verification Process, respectively. Unlike earlier work, the proposed strategy is based on integration of black box and white box techniques in order to derive an optimum test suite during the Quality Signing Process. In this case, the generated optimal test suite significantly improves the Quality Verification Process. Considering both processes, the novelty of the proposed strategy is the fact that the optimization and reduction of test suite is performed by selecting only mutant killing test cases from cumulating t-way test ca
... Show MoreIn a connected graph , the distance function between each pair of two vertices from a set vertex is the shortest distance between them and the vertex degree denoted by is the number of edges which are incident to the vertex The Schultz and modified Schultz polynomials of are have defined as:
respectively, where the summations are taken over all unordered pairs of distinct vertices in and is the distance between and in The general forms of Schultz and modified Schultz polynomials shall be found and indices of the edge – identification chain and ring – square graphs in the present work.
The purified prepared compounds were identified through different methods of identification i.e, I.R, UV-vi^ble-spectroscopy in addition to (coloured tests) Calculation of the sum of OH groups. TLC techniques were also used to test the purity and the speed ofthe rate of flow (RF).
The present paper talks about balance between two poems which are the Nouniya for Ibn Zaidoun and Andalusia for Ahmed Shawqi. This study is not claimed to be the first of its kind but we found some artistic aspects that deserve to stop at them. This what makes the two the focus of critics and scholars as well in addition to their emphasis on the unity of the human feelings and immortality through the poet's ability to employ those feelings and emotions in a way that it can express the human soul in every time and place. That is what we believe Ibn Zaidoun had reached in his poem. Therefore, the present paper has come into the conclusion that Ibn Zaydoon's Nouniya is better than Shawqi's Andalusia due to what we got through reading and an
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