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Technical Perturbation Methods

Posted on 2010-04-11




Name:Technical Perturbation Methods
ASIN/ISBN:0471399175
Language:English
File size:1 Mb
   Technical Perturbation Methods

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Many of the problems faced today by physicists, engineers, and applied

mathematicians involve difficulties, such as nonlinear governing equations,

variable coefficients, and nonlinear boundary conditions at complex known

or unknown boundaries, which preclude their solutions exactly. To solve

these problems we are forced to resort to a form of approximation, a numerical

solution, or a combination of both. Foremost among the approximation

techniques is the systematic method of perturbations (asymptotic expansions)

in terms of a small or a large parameter or coordinate. This book is con-

cerned only with these perturbation techniques.

According to these perturbation techniques, the solution of the full

problem is represented by the first few terms of a perturbation expansion,

usually the first two terms. Although these perturbation expansions may be

divergent, they can be more useful for a qualitative as well as a quantitative

representation of the solution than expansions that are uniformly and

absolutely convergent.

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