Symmetry Groups Of Partial Differential Equations Separation Of Variable And Direct Integral Theory
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Lie Symmetry Analysis Of Fractional Differential Equations
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Author : Mir Sajjad Hashemi
language : en
Publisher: CRC Press
Release Date : 2020-07-09
Lie Symmetry Analysis Of Fractional Differential Equations written by Mir Sajjad Hashemi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with Mathematics categories.
The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences. During the last few decades fractional calculus has also been associated with the power law effects and its various applications. It is a natural to ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their applications. In Lie Symmetry Analysis of Fractional Differential Equations the authors try to answer this vital question by analyzing different aspects of fractional Lie symmetries and related conservation laws. Finding the exact solutions of a given fractional partial differential equation is not an easy task, but is one that the authors seek to grapple with here. The book also includes generalization of Lie symmetries for fractional integro differential equations. Features Provides a solid basis for understanding fractional calculus, before going on to explore in detail Lie Symmetries and their applications Useful for PhD and postdoc graduates, as well as for all mathematicians and applied researchers who use the powerful concept of Lie symmetries Filled with various examples to aid understanding of the topics
Theory Of Separation Of Variables For Linear Partial Differential Equations Of The Second Order In Two Independent Variables
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Author : Marvin E. Goldstein
language : en
Publisher:
Release Date : 1970
Theory Of Separation Of Variables For Linear Partial Differential Equations Of The Second Order In Two Independent Variables written by Marvin E. Goldstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Differential equations, Partial categories.
Symmetries Of Partial Differential Equations
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Author : A.M. Vinogradov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symmetries Of Partial Differential Equations written by A.M. Vinogradov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989 Kluwer Academic Publishers. Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results A. M. VINOORADOV Department of Mathematics, Moscow State University, 117234, Moscow, U. S. S. R. (Received: 22 August 1988) Abstract. The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed. AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key words. Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. o. Introduction In this paper we present the basic notions and results from the general theory of local symmetries and conservation laws of partial differential equations. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations. Also, some general views and perspectives will be discussed.
Symmetry Groups Of Partial Differential Equations Separation Of Variable And Direct Integral Theory
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Author : Mark Craddock
language : en
Publisher:
Release Date : 1993*
Symmetry Groups Of Partial Differential Equations Separation Of Variable And Direct Integral Theory written by Mark Craddock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993* with Differential equations, Partial categories.
Lectures On Partial Differential Equations
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Author : Ivan Georgievich Petrovski?
language : en
Publisher: Courier Corporation
Release Date : 1991-01-01
Lectures On Partial Differential Equations written by Ivan Georgievich Petrovski? and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Mathematics categories.
Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Separation Of Variables For Partial Differential Equations
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Author : George Cain
language : en
Publisher: CRC Press
Release Date : 2005-11-21
Separation Of Variables For Partial Differential Equations written by George Cain and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.
Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.
Partial Differential And Integral Equations
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Author : Heinrich Begehr
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Partial Differential And Integral Equations written by Heinrich Begehr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Recent results on partial differential equations as well as with complex analytic methods on singular integral equations and on related subjects are presented. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. Audience: Specialists in partial differential equations and related topics, with an interest in real and complex methods and in applications to mathematical physics will find this book very useful.
Symmetry And Integration Methods For Differential Equations
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Author : George Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-10
Symmetry And Integration Methods For Differential Equations written by George Bluman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-10 with Mathematics categories.
This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.
Partial Differential Equations
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Author : Aleksei A. Dezin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Partial Differential Equations written by Aleksei A. Dezin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space. The problem that is investigated is the question of the dependence of the nature of the solvability of a given equation on the way in which the boundary conditions are chosen, i.e. on the supplementary requirements which the solution is to satisfy on specified parts of the boundary. The branch of mathematical analysis dealing with the study of boundary value problems for partial differential equations is often called mathematical physics. Classical courses in this subject usually consider quite restricted classes of equations, for which the problems have an immediate physical context, or generalizations of such problems. With the expanding domain of application of mathematical methods at the present time, there often arise problems connected with the study of partial differential equations that do not belong to any of the classical types. The elucidation of the correct formulation of these problems and the study of the specific properties of the solutions of similar equations are closely related to the study of questions of a general nature.
Separation Of Variables And Superintegrability
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Author : E. G. Kalnins
language : en
Publisher:
Release Date : 2018
Separation Of Variables And Superintegrability written by E. G. Kalnins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Differential equations, Partial categories.
"Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions." -- Prové de l'editor.