Analytical Technique Solve System by Ali Raza (4 results)
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Bachelor Thesis from the year 2021 in the subject Mathematics - Miscellaneous, Federal Urdu University, language: English, abstract: In this analysis, the explicit solutions to a generalized Korteweg-de Vries equation (KdV for short) with initial c…ondition are calculated by using the new Analytical method.Korteweg-de Vries (KdV) equation, which are characterized by the solitary wave solutions of the classical nonlinear equations that lead to solitons. Here, the classical nonlinear equations of interest usually admit for the existence of a special type of the traveling wave solutions which are either solitary waves or solitons. Fractional Calculus (FC) goes back to the dawn of the theory of differential calculus. however, the application of FC just came up in the last two decades, due to the breakthrough in the area of chaos that disclose subtle connections with the FC concepts.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Bachelor Thesis from the year 2021 in the subject Mathematics - Miscellaneous, Federal Urdu University, language: English, abstract: In this analysis, the explicit solutions to a generalized Korteweg-de Vries equation (KdV for short…) with initial condition are calculated by using the new Analytical method.Korteweg-de Vries (KdV) equation, which are characterized by the solitary wave solutions of the classical nonlinear equations that lead to solitons. Here, the classical nonlinear equations of interest usually admit for the existence of a special type of the traveling wave solutions which are either solitary waves or solitons. Fractional Calculus (FC) goes back to the dawn of the theory of differential calculus. however, the application of FC just came up in the last two decades, due to the breakthrough in the area of chaos that disclose subtle connections with the FC concepts. 36 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Bachelor Thesis from the year 2021 in the subject Mathematics - Miscellaneous, Federal Urdu University, language: English, abstract: Dive into the complex world of nonlinear dynamics with a groundbreaking exploration of fractional calcu…lus and its application to solving some of the most challenging equations in mathematical physics. This book introduces a novel analytical method, a beacon of innovation in the field of fractional partial differential equations (FPDEs), specifically targeting the elusive solutions of nonlinear fractional Korteweg-de Vries (KdV) systems. By masterfully weaving together the classical power of the Laplace transform with a fresh, cutting-edge analytical approach, this study unveils a new pathway for understanding and solving these intricate equations. At the heart of this methodology lies the Caputo fractional derivative, a cornerstone of fractional calculus, enabling a more accurate and nuanced modeling of real-world phenomena. The journey begins with a comprehensive introduction to fractional calculus, contrasting it with its integer-order counterpart and tracing its historical roots from the early inquiries of Leibniz and L'Hopital to the pivotal contributions of Laplace and Liouville. Discover how the KdV equation, a fundamental model for solitary waves, finds new life through the lens of fractional calculus. This book meticulously constructs the theoretical framework, defining essential mathematical tools such as the Gamma function and rigorously establishing the properties of the Laplace transform. A detailed convergence analysis provides a solid foundation for the practical application of this method. Explore worked examples that showcase the method's efficacy and illuminate the path for researchers and students alike. This book is an invaluable resource for those seeking to push the boundaries of knowledge in fractional calculus, nonlinear systems, and the development of novel analytical techniques for solving FPDEs. Unlock the secrets of fractional dynamics and embark on a journey of mathematical discovery, where the power of the Laplace transform meets the elegance of a new analytical method, offering a fresh perspective on the Korteweg-de Vries equation and its myriad applications. A must-read for mathematicians, physicists, and engineers venturing into the frontier of fractional calculus and nonlinear dynamics.GRIN Publishing GmbH, Waltherstraße 23, 80337 München 36 pp. Englisch.
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Seller: preigu, Osnabrück, Germanypreigu
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Taschenbuch. Condition: Neu. An Analytical Technique to Solve the System of Non-Linear Korteweg-De Vries Equation (KdV), FPDE | Danish Ali Raza (u. a.) | Taschenbuch | Englisch | 2021 | GRIN Verlag | EAN 9783346490582 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]pre…igu[dot]de | Anbieter: preigu Print on Demand.
