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.
Product Identifiers
Publisher
Springer, India, Private Ltd
ISBN-13
9788132228103
eBay Product ID (ePID)
221719131
Product Key Features
Author
Martin Hermann, Masoud Saravi
Publication Name
Nonlinear Ordinary Differential Equations: Analytical Approximation and Numerical Methods
Format
Hardcover
Language
English
Subject
Mathematics, Physics
Publication Year
2016
Type
Textbook
Number of Pages
310 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
6151g
Additional Product Features
Title_Author
Martin Hermann, Masoud Saravi
Country/Region of Manufacture
India
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