Overview
- Emphasis is on applications with numerous worked examples to illustrate basic concepts
- Introduction to compatibilitiy analysis theory
- Many methods for constructing exact solutions are collected in one book
- First presentation in English of the methods of differential constraints and degenerate hodograph in closed form
- Extensions of group analysis for integro-differential and functional differential equations
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical and Analytical Techniques with Applications to Engineering (MATE)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the reviews:
"The book presents the main methods for finding solutions of partial differential equations … . is the first systematic presentation of methods for constructing exact solutions of PDE’s and includes many classical methods … . The book is quite comprehensive … . Some of the approaches are little known in the wider research community, so the book fills this gap in the literature. The author defines the target audience as students, engineers and scientists … interested in solving partial differential equations." (Irina Yehorchenko, Mathematical Reviews, Issue 2006 m)
Bibliographic Information
Book Title: Methods for Constructing Exact Solutions of Partial Differential Equations
Book Subtitle: Mathematical and Analytical Techniques with Applications to Engineering
Authors: S. V. Meleshko
Series Title: Mathematical and Analytical Techniques with Applications to Engineering
DOI: https://doi.org/10.1007/b107051
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag US 2005
Hardcover ISBN: 978-0-387-25060-1Published: 16 September 2005
Softcover ISBN: 978-1-4419-3769-8Published: 08 December 2010
eBook ISBN: 978-0-387-25265-0Published: 18 June 2006
Series ISSN: 1559-7458
Series E-ISSN: 1559-7466
Edition Number: 1
Number of Pages: XVI, 352
Topics: Mathematical and Computational Engineering, Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Engineering Fluid Dynamics, Ordinary Differential Equations