國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The optimal homotopy asymptotic meth...

Herisanu, Nicolae.

The optimal homotopy asymptotic methodengineering applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The optimal homotopy asymptotic methodby Vasile Marinca, Nicolae Herisanu.
其他題名:	engineering applications /
作者:	Marinca, Vasile.
其他作者:	Herisanu, Nicolae.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 465 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Homotopy theory.
電子資源:	http://dx.doi.org/10.1007/978-3-319-15374-2
ISBN:	9783319153742 (electronic bk.)

The optimal homotopy asymptotic methodengineering applications /
Marinca, Vasile.

The optimal homotopy asymptotic methodengineering applications /[electronic resource] :by Vasile Marinca, Nicolae Herisanu. - Cham :Springer International Publishing :2015. - x, 465 p. :ill., digital ;24 cm.

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.

ISBN: 9783319153742 (electronic bk.)

Standard No.: 10.1007/978-3-319-15374-2doiSubjects--Topical Terms:

209299
Homotopy theory.

LC Class. No.: QA612.7

Dewey Class. No.: 514.24

The optimal homotopy asymptotic methodengineering applications /
LDR:02555nmm a2200313 a 4500 001 465668
003 DE-He213
005 20151123172120.0
006 m d
007 cr nn 008maaau
008 151222s2015 gw s 0 eng d
020 $a 9783319153742 (electronic bk.)
020 $a 9783319153735 (paper)
024 7 $a 10.1007/978-3-319-15374-2 $2 doi
035 $a 978-3-319-15374-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612.7
072 7 $a TGMD $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a SCI041000 $2 bisacsh
082 0 4 $a 514.24 $2 23
090 $a QA612.7 $b .M337 2015
100 1 $a Marinca, Vasile. $3 545001
245 1 4 $a The optimal homotopy asymptotic method $h [electronic resource] : $b engineering applications / $c by Vasile Marinca, Nicolae Herisanu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 465 p. : $b ill., digital ; $c 24 cm.
520 $a 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.
650 0 $a Homotopy theory. $3 209299
650 0 $a Differential equations, Nonlinear $x Asymptotic theory. $3 456117
650 1 4 $a Engineering. $3 210888
650 2 4 $a Theoretical and Applied Mechanics. $3 274501
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
650 2 4 $a Socio- and Econophysics, Population and Evolutionary Models. $3 495595
700 1 $a Herisanu, Nicolae. $3 545002
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15374-2
950 $a Engineering (Springer-11647)