Description: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Vasile Marinca, Nicolae Herisanu, Bogdan Marinca Format: Hardback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030756529, 978-3030756529 Synopsis 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.
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Location: Aldershot
End Time: 2024-09-03T08:05:17.000Z
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Book Title: Optimal Auxiliary Functions Method for Nonlinear Dynamical Sys...
Subject Area: Mechanical Engineering
Item Height: 235 mm
Item Width: 155 mm
Author: Vasile Marinca, Bogdan Marinca, Nicolae Herisanu
Publication Name: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
Format: Hardcover
Language: English
Publisher: Springer Nature Switzerland A&G
Subject: Chemistry, Mathematics, Physics
Publication Year: 2021
Type: Textbook
Item Weight: 904 g
Number of Pages: 479 Pages
