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#1
2008-10-05, 06:49 PM
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| Perturbation Theory and Methods Books السلام عليكم From Wikipedia Perturbation theory comprises mathematical methods that are used to find an approximate solution to a problem which cannot be solved exactly, by starting from the exact solution of a related problem. Perturbation theory is applicable if the problem at hand can be formulated by adding a "small" term to the mathematical description of the exactly solvable problem. Perturbation theory leads to an expression for the desired solution in terms of a power series in some "small" parameter that quantifies the deviation from the exactly solvable problem. The leading term in this power series is the solution of the exactly solvable problem, while further terms describe the deviation in the solution, due to the deviation from the initial problem. Formally, we have for the approximation to the full solution A, a series in the small parameter (here called ε), like the following:  In this example, A0 would be the known solution to the exactly solvable initial problem and A1,A2,... represent the "higher orders" which are found iteratively by some systematic procedure. For small ε these higher orders are presumed to become successively less important. For more information see the link below http://en.wikipedia.org/wiki/Perturbation_theory and for perturbation methods see the following link http://www.sm.luth.se/~tomas/applmath/chap2en/index.html  DOWNLOAD  |
| هذا الطالب يتقدم بالشكر لكاتب الموضوع Omar_Absi علي هذه المشاركة الطيبة : | ||
zola (2008-10-05) | ||
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#2
2008-10-05, 06:55 PM
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| رد : Perturbation Theory and Methods Books Perturbation Methods (Pure and Applied Mathematics) By Ali Hasan Nayfeh
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#4
2008-10-05, 07:12 PM
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| رد : Perturbation Theory and Methods Books Perturbation Methods in Fluid Mechanics By Milton D. Van Dyke
Product Description: Techniques for treating regular and singular perturbations are illustrated by application to problems of fluid motion. In particular, the method of matched asymptotic expansions is applied to the aerodynamics of airfoils and wings, and to viscous flow at high and low Reynolds numbers. Other topics include the methods of strained coordinates and of multiple scales, and the improvement of series. |
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مواضيع مشابهة للموضوع: Perturbation Theory and Methods Books | ||||
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