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Nonlinear Ordinary Differential Equations

Analytical Approximation and Numerical Methods

Autor: MARTIN HERMANN

Limbă:

Legare: Carte broșată

Editura: Springer, India, Private Ltd

Disponibilitate: În depozitul extern

Expediem în 5-8 zile

324.07 lei

The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytica...

Informații despre carte

Autor

MARTIN HERMANN

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

310

EAN

9788132238454

ISBN

9788132238454

Enbook ID

19684882

Editura

Springer, India, Private Ltd

Greutate

4978

Dimensiuni

155 x 235 x 18

Descriere completă

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.