Chapter 2. Straightforward Expansions and Sources of Nonuniformity

  1. Ali Hasan Nayfeh

Published Online: 21 DEC 2007

DOI: 10.1002/9783527617609.ch2

Perturbation Methods

Perturbation Methods

How to Cite

Nayfeh, A. H. (2007) Straightforward Expansions and Sources of Nonuniformity, in Perturbation Methods, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527617609.ch2

Publication History

  1. Published Online: 21 DEC 2007
  2. Published Print: 15 AUG 2000

ISBN Information

Print ISBN: 9780471399179

Online ISBN: 9783527617609

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Keywords:

  • nonuniform expansions;
  • secular terms;
  • coordinate systems;
  • Dufling's equation;
  • partial differential equation

Summary

This chapter contains sections titled:

  • Infinite Domains

  • A Small Parameter Multiplying the Highest Derivative

  • Type Change of a Partial Differential Equation

  • The Presence of Singularities

  • The Role of Coordinate Systems