Share

Symmetry Analysis of Differential Equations with Mathematica®

2013-11-21 Mathematics
Download Symmetry Analysis of Differential Equations with Mathematica® PDF Online Free

Author :
Release : 2013-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 102/5 ( reviews)

GET EBOOK


Book Synopsis Symmetry Analysis of Differential Equations with Mathematica® by : Gerd Baumann

Download or read book Symmetry Analysis of Differential Equations with Mathematica® written by Gerd Baumann. This book was released on 2013-11-21. Available in PDF, EPUB and Kindle. Book excerpt: 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 Analysis of Differential Equations

2015-01-20 Mathematics
Download Symmetry Analysis of Differential Equations PDF Online Free

Author :
Release : 2015-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 403/5 ( reviews)

GET EBOOK


Book Synopsis Symmetry Analysis of Differential Equations by : Daniel J. Arrigo

Download or read book Symmetry Analysis of Differential Equations written by Daniel J. Arrigo. This book was released on 2015-01-20. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.

Lie Symmetry Analysis of Fractional Differential Equations

2020-07-09 Mathematics
Download Lie Symmetry Analysis of Fractional Differential Equations PDF Online Free

Author :
Release : 2020-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 935/5 ( reviews)

GET EBOOK


Book Synopsis Lie Symmetry Analysis of Fractional Differential Equations by : Mir Sajjad Hashemi

Download or read book Lie Symmetry Analysis of Fractional Differential Equations written by Mir Sajjad Hashemi. This book was released on 2020-07-09. Available in PDF, EPUB and Kindle. Book excerpt: 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

Symmetries and Applications of Differential Equations

2021-12-14 Mathematics
Download Symmetries and Applications of Differential Equations PDF Online Free

Author :
Release : 2021-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 83X/5 ( reviews)

GET EBOOK


Book Synopsis Symmetries and Applications of Differential Equations by : Albert C. J. Luo

Download or read book Symmetries and Applications of Differential Equations written by Albert C. J. Luo. This book was released on 2021-12-14. Available in PDF, EPUB and Kindle. Book excerpt: This book is about Lie group analysis of differential equations for physical and engineering problems. The topics include: -- Approximate symmetry in nonlinear physical problems -- Complex methods for Lie symmetry analysis -- Lie group classification, Symmetry analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three-dimensional linear elasticity -- Involutive systems of partial differential equations This collection of works is written in memory of Professor Nail H. Ibragimov (1939–2018). It could be used as a reference book in differential equations in mathematics, mechanical, and electrical engineering.

Introduction to Symmetry Analysis

2002-09-23 Mathematics
Download Introduction to Symmetry Analysis PDF Online Free

Author :
Release : 2002-09-23
Genre : Mathematics
Kind : eBook
Book Rating : 712/5 ( reviews)

GET EBOOK


Book Synopsis Introduction to Symmetry Analysis by : Brian J. Cantwell

Download or read book Introduction to Symmetry Analysis written by Brian J. Cantwell. This book was released on 2002-09-23. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.

You may also like...