MARC状态：待编 文献类型：电子图书 浏览次数：39
- 题名/责任者:
- The Optimal Homotopy Asymptotic Method Engineering Applications / by Vasile Marinca, Nicolae Herisanu.
- 版本说明:
- 1st ed. 2015.
- 出版发行项:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- ISBN:
- 9783319153742
- 其它标准号:
- 10.1007/978-3-319-15374-2
- 载体形态项:
- X, 465 p. 259 illus. online resource.
- 其他载体形态:
- Printed edition: 9783319153759
- 其他载体形态:
- Printed edition: 9783319153735
- 其他载体形态:
- Printed edition: 9783319361833
- 个人责任者:
- Marinca, Vasile. author.
- 附加个人名称:
- Herisanu, Nicolae. author.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Mechanics.
- 论题主题:
- Mechanics, Applied.
- 论题主题:
- Computer mathematics.
- 论题主题:
- Sociophysics.
- 论题主题:
- Econophysics.
- 摘要附注:
- 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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