Introduction to perturbation techniques Nayfeh, Ali Hasan,

By:

Nayfeh, Ali Hasan

Material type: Text

TextPublication details: New York, Wiley, 2004Description: 519PISBN:

9788126546824

Subject(s):

Differential equations Numerical solutions

DDC classification:

515.35 NAY

Contents:

Introduction Algebraic equations Integrals The Duffing equation The linear damped oscillator Self-excited oscillators Systems with quadratic and cubic nonlinearities General weakly nonlinear systems Forced oscillations of the Duffing equation Multifrequency excitations The Mathieu equation Boundary-layer problems Linear equations with variable coefficients Differential equations with a large parameter solvability conditions

Summary: Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises

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Holdings ( 3 )
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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Reference	IIITDM Kurnool Reference	Non-fiction	515.35 NAY (Browse shelf(Opens below))	Not For Loan (Restricted Access)	0004847
Books	IIITDM Kurnool General Stacks	Non-fiction	515.35 NAY (Browse shelf(Opens below))	Available	0004848
Books	IIITDM Kurnool General Stacks	Non-fiction	515.35 NAY (Browse shelf(Opens below))	Available	0004849

Introduction
Algebraic equations
Integrals
The Duffing equation
The linear damped oscillator
Self-excited oscillators
Systems with quadratic and cubic nonlinearities
General weakly nonlinear systems
Forced oscillations of the Duffing equation
Multifrequency excitations
The Mathieu equation
Boundary-layer problems
Linear equations with variable coefficients
Differential equations with a large parameter
solvability conditions

Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises

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