Introduction to perturbation techniques
Nayfeh, Ali Hasan,
Introduction to perturbation techniques Nayfeh, Ali Hasan, - New York, Wiley, 2004 - 519P
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
9788126546824
Differential equations Numerical solutions
515.35 / NAY
Introduction to perturbation techniques Nayfeh, Ali Hasan, - New York, Wiley, 2004 - 519P
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
9788126546824
Differential equations Numerical solutions
515.35 / NAY