Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering
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The work Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering
Resource Information
The work Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering
 Title remainder
 Mathematical and Analytical Techniques with Applications to Engineering
 Statement of responsibility
 by Sergey V. Meleshko
 Language

 eng
 eng
 Summary
 Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Each solution of a system of differential equations corresponds to a particular process. Therefore, methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easytofollow, but comprehensive, description of the methods for constructing exact solutions of differential equations. The emphasis is on the methods of differential constraints, degenerate hodograph and group analysis. These methods have become a necessary part of applied mathematics and mathematical physics. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. The description of algorithms contains illustrative examples which are typically taken from continuum mechanics. Some sections of the book introduce new applications and extensions of these methods, such as integrodifferential and functional differential equations, a new area of group analysis. It should also be noted that the method of differential constraints is not well known outside Russia; there are only a few books in English where the idea behind this method (without analysis) is briefly mentioned. This book is a result of an effort to introduce, at a fairly elementary level, many methods for constructing exact solutions collected in one book. It is based on the author's research and various courses and lectures given to undergraduate and graduate students, as well as professional audiences over the past twentyfive years. The book is assembled, in a coherent and comprehensive way, from results that are scattered across many different articles and books published over the last thirty years. The approach is analytical. Introductions to theories are followed by examples. The book is written for students, engineers and scientists with diverse backgrounds and interests. For a deeper coverage of a particular method or an application, the readers are referred to specialpurpose books and/or scientific articles referenced in the book. The prerequisites for the study are standard courses in calculus, linear algebra, and ordinary and partial differential equations
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 JeIWjEG4sXU
 Language note
 English
 LC call number

 TA329348
 TA640643
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematical and Analytical Techniques with Applications to Engineering,
Context
Context of Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to EngineeringWork of
 Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering, by Sergey V. Meleshko, (electronic resource)
 Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering, by Sergey V. Meleshko, (electronic resource)
 Methods for Constructing Exact Solutions of Partial Differential Equations : Mathematical and Analytical Techniques with Applications to Engineering, by Sergey V. Meleshko, (electronic resource)
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