Nonlinear ordinary differential equations [electronic resource] : analytical approximation and numerical methods / Martin Hermann, Masoud Saravi.
2016
QA372
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Nonlinear ordinary differential equations [electronic resource] : analytical approximation and numerical methods / Martin Hermann, Masoud Saravi.
Author
Hermann, Martin, author.
ISBN
9788132228127 (electronic book)
813222812X (electronic book)
9788132228103
813222812X (electronic book)
9788132228103
Published
New Delhi : Springer, 2016.
Language
English
Description
1 online resource (xvi, 310 pages) : illustrations
Item Number
10.1007/978-81-322-2812-7 doi
9788132228103
9788132228103
Call Number
QA372
Dewey Decimal Classification
515/.355
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 23, 2016).
Added Author
Saravi, Masoud, author.
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
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.
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.