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Nonlinear Ordinary Differential Equations - Analytical Approximation and Numerical Methods (Paperback, Softcover reprint of the original 1st ed. 2016) Loot Price: R2,792
Discovery Miles 27 920
Nonlinear Ordinary Differential Equations - Analytical Approximation and Numerical Methods (Paperback, Softcover reprint of the...

Nonlinear Ordinary Differential Equations - Analytical Approximation and Numerical Methods (Paperback, Softcover reprint of the original 1st ed. 2016)

Martin Hermann, Masoud Saravi

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Loot Price R2,792 Discovery Miles 27 920 | Repayment Terms: R262 pm x 12*

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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.

General

Imprint: Springer, India, Private Ltd
Country of origin: India
Release date: May 2018
First published: 2016
Authors: Martin Hermann • Masoud Saravi
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Paperback
Pages: 310
Edition: Softcover reprint of the original 1st ed. 2016
ISBN-13: 978-81-322-3845-4
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 81-322-3845-1
Barcode: 9788132238454

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