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The Optimal Homotopy Asymptotic Method - Engineering Applications (Paperback, Softcover reprint of the original 1st ed. 2015)
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The Optimal Homotopy Asymptotic Method - Engineering Applications (Paperback, Softcover reprint of the original 1st ed. 2015)
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This book emphasizes in detail the applicability of the Optimal
Homotopy Asymptotic Method to various engineering problems. It is a
continuation of the book “Nonlinear Dynamical Systems in
Engineering: Some Approximate Approaches”, published at Springer
in 2011 and it contains a great amount of practical models from
various fields of engineering such as classical and fluid
mechanics, thermodynamics, nonlinear oscillations, electrical
machines and so on. The main structure of the book consists of 5
chapters. The first chapter is introductory while the second
chapter is devoted to a short history of the development of
homotopy methods, including the basic ideas of the Optimal Homotopy
Asymptotic Method. The last three chapters, from Chapter 3 to
Chapter 5, are introducing three distinct alternatives of the
Optimal Homotopy Asymptotic Method with illustrative applications
to nonlinear dynamical systems. The third chapter deals with the
first alternative of our approach with two iterations. Five
applications are presented from fluid mechanics and nonlinear
oscillations. The Chapter 4 presents the Optimal Homotopy
Asymptotic Method with a single iteration and solving the linear
equation on the first approximation. Here are treated 32 models
from different fields of engineering such as fluid mechanics,
thermodynamics, nonlinear damped and undamped oscillations,
electrical machines and even from physics and biology. The last
chapter is devoted to the Optimal Homotopy Asymptotic Method with a
single iteration but without solving the equation in the first
approximation.
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