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Könyv Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems Bogdan Marinca

Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Szerző: Bogdan Marinca, Nicolae Herisanu
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer Nature Switzerland AG
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
61 107 Ft
This book presents the optimal auxiliary functions method and applies it to various engineering prob...

Információk a könyvről

Szerző
Bogdan Marinca, Nicolae Herisanu
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2021
oldal
496
EAN
9783030756529
ISBN
3030756521
Enbook ID
36659701
Kiadó
Springer Nature Switzerland AG
Súly
904
Méretek
160 x 241 x 32

Teljes leírás

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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