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Nonlinear ordinary differential equations[electronic resource] :analytical approximation and numerical methods /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.355
書名/作者:	Nonlinear ordinary differential equations : analytical approximation and numerical methods // by Martin Hermann, Masoud Saravi.
作者:	Hermann, Martin.
其他作者:	Saravi, Masoud.
出版者:	New Delhi : : Springer India :, 2016.
面頁冊數:	xvi, 310 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Nonlinear.
標題:	Mathematics.
標題:	Ordinary Differential Equations.
標題:	Numerical Analysis.
標題:	Mathematical Physics.
標題:	Mathematical Applications in the Physical Sciences.
ISBN:	9788132228127
ISBN:	9788132228103
內容註:	A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs -- Analytical Approximation Methods -- Further Analytical Approximation Methods and Some Applications -- Nonlinear Two-Point Boundary Value Problems -- Numerical Treatment of Parameterized Two-Point Boundary Value Problems.
摘要、提要註:	The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs. The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-system problems. Students often rely on the finite element method to such an extent that on graduation they have little or no knowledge of alternative methods of solving problems. To rectify this, the book introduces several new approximation techniques.
電子資源:	http://dx.doi.org/10.1007/978-81-322-2812-7

Nonlinear ordinary differential equations[electronic resource] :analytical approximation and numerical methods /
Hermann, Martin.

Nonlinear ordinary differential equationsanalytical approximation and numerical methods /[electronic resource] :by Martin Hermann, Masoud Saravi. - New Delhi :Springer India :2016. - xvi, 310 p. :ill., digital ;24 cm.

A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs -- Analytical Approximation Methods -- Further Analytical Approximation Methods and Some Applications -- Nonlinear Two-Point Boundary Value Problems -- Numerical Treatment of Parameterized Two-Point Boundary Value Problems.

The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs. The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-system problems. Students often rely on the finite element method to such an extent that on graduation they have little or no knowledge of alternative methods of solving problems. To rectify this, the book introduces several new approximation techniques.

ISBN: 9788132228127

Standard No.: 10.1007/978-81-322-2812-7doiSubjects--Topical Terms:

405187
Differential equations, Nonlinear.

LC Class. No.: QA372

Dewey Class. No.: 515.355

Nonlinear ordinary differential equations[electronic resource] :analytical approximation and numerical methods /
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