The Optimal Homotopy Asymptotic Method

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 prac...

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Những tác giả chính:	Marinca, Vasile, Herisanu, Nicolae
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Homotopy theory Differential equations Asymptotic theory Nonlinear
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58232
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-582322023-11-11T06:05:47Z The Optimal Homotopy Asymptotic Method Marinca, Vasile Herisanu, Nicolae Homotopy theory Differential equations Asymptotic theory Nonlinear 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. 2015-09-14T02:47:24Z 2015-09-14T02:47:24Z 2015 Book 978-3-319-15374-2 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58232 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Homotopy theory Differential equations Asymptotic theory Nonlinear
spellingShingle	Homotopy theory Differential equations Asymptotic theory Nonlinear Marinca, Vasile Herisanu, Nicolae The Optimal Homotopy Asymptotic Method
description	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.
format	Book
author	Marinca, Vasile Herisanu, Nicolae
author_facet	Marinca, Vasile Herisanu, Nicolae
author_sort	Marinca, Vasile
title	The Optimal Homotopy Asymptotic Method
title_short	The Optimal Homotopy Asymptotic Method
title_full	The Optimal Homotopy Asymptotic Method
title_fullStr	The Optimal Homotopy Asymptotic Method
title_full_unstemmed	The Optimal Homotopy Asymptotic Method
title_sort	optimal homotopy asymptotic method
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58232
_version_	1819813677614759936

The Optimal Homotopy Asymptotic Method

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