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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Authors: Marinca, Vasile, Herisanu, Nicolae, Marinca, Bogdan

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  • Offers an introduction to the Optimal Auxiliary Functions Method and applies it to various engineering problems
  • Provides a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical system
  • Shows applications in fluid mechanics, thermodynamics, nonlinear oscillations electrical machines, and much more
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eBook $129.00
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  • ISBN 978-3-030-75653-6
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Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-75652-9
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About this book

This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made.

The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more.

The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.

Table of contents (31 chapters)

Table of contents (31 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-030-75653-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-75652-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-75653-6
DOI
10.1007/978-3-030-75653-6
Hardcover ISBN
978-3-030-75652-9
Edition Number
1
Number of Pages
XIII, 479
Number of Illustrations
28 b/w illustrations, 414 illustrations in colour
Topics