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Symmetries And Differential Equations


Symmetries And Differential Equations
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Symmetries And Differential Equations


Symmetries And Differential Equations
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Author : George W. Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Symmetries And Differential Equations written by George W. 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 2013-03-14 with Mathematics categories.


A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.



Differential Equations


Differential Equations
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Author : Hans Stephani
language : en
Publisher: Cambridge University Press
Release Date : 1989

Differential Equations written by Hans Stephani and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


In many branches of physics, mathematics, and engineering, solving a problem means solving a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book a valuable reference.



Symmetry And Integration Methods For Differential Equations


Symmetry And Integration Methods For Differential Equations
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Author : George Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-10

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 2008-01-10 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.



Introduction To Symmetry Analysis


Introduction To Symmetry Analysis
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Author : Brian J. Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-26

Introduction To Symmetry Analysis written by Brian J. Cantwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.




Symmetry Analysis Of Differential Equations With Mathematica


Symmetry Analysis Of Differential Equations With Mathematica
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Author : Gerd Baumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-20

Symmetry Analysis Of Differential Equations With Mathematica written by Gerd Baumann 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 2000-04-20 with Mathematics categories.


The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.



Symmetry Methods For Differential Equations


Symmetry Methods For Differential Equations
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Author : Peter Ellsworth Hydon
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28

Symmetry Methods For Differential Equations written by Peter Ellsworth Hydon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-28 with Mathematics categories.


This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily.The book contains some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.



Symmetries And Differential Equations


Symmetries And Differential Equations
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Author : George W. Bluman
language : en
Publisher:
Release Date : 2014-01-15

Symmetries And Differential Equations written by George W. Bluman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Symmetries And Differential Equations


Symmetries And Differential Equations
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Author : George W. Bluman
language : en
Publisher:
Release Date : 1989

Symmetries And Differential Equations written by George W. Bluman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Differential equations categories.




Symmetries Of Differential Equations And Numerical Applications


Symmetries Of Differential Equations And Numerical Applications
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Author : Angel Durán
language : en
Publisher:
Release Date : 1999

Symmetries Of Differential Equations And Numerical Applications written by Angel Durán and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differential equations categories.




Lie Symmetry Analysis Of Fractional Differential Equations


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