000			03294nam a22005055i 4500
001			978-3-319-15374-2
003			DE-He213
005			20200420220217.0
007			cr nn 008mamaa
008			150402s2015 gw | s |||| 0|eng d
020			_a9783319153742 _9978-3-319-15374-2
024	7		_a10.1007/978-3-319-15374-2 _2doi
050		4	_aTA349-359
072		7	_aTGMD _2bicssc
072		7	_aTEC009070 _2bisacsh
072		7	_aSCI041000 _2bisacsh
082	0	4	_a620.1 _223
100	1		_aMarinca, Vasile. _eauthor.
245	1	4	_aThe Optimal Homotopy Asymptotic Method _h[electronic resource] : _bEngineering Applications / _cby Vasile Marinca, Nicolae Herisanu.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015.
300			_aX, 465 p. 259 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
520			_aThis 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	_aEngineering.
650		0	_aComputer mathematics.
650		0	_aSociophysics.
650		0	_aEconophysics.
650		0	_aMechanics.
650		0	_aMechanics, Applied.
650	1	4	_aEngineering.
650	2	4	_aTheoretical and Applied Mechanics.
650	2	4	_aComputational Mathematics and Numerical Analysis.
650	2	4	_aSocio- and Econophysics, Population and Evolutionary Models.
700	1		_aHerisanu, Nicolae. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319153735
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-15374-2
912			_aZDB-2-ENG
942			_cEBK
999			_c51649 _d51649