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Numerical integration of asymptotic solutions of ordinary differential equationsClassical asymptotic analysis of ordinary differential equations derives approximate solutions that are numerically stable. However, the analysis also leads to tedious expansions in powers of the relevant parameter for a particular problem. The expansions are replaced with integrals that can be evaluated by numerical integration. The resulting numerical solutions retain the linear independence that is the main advantage of asymptotic solutions. Examples, including the Falkner-Skan equation from laminar boundary layer theory, illustrate the method of asymptotic analysis with numerical integration.
Document ID
19890015496
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Thurston, Gaylen A. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
April 1, 1989
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.15:100650
NASA-TM-100650
Accession Number
89N24867
Funding Number(s)
PROJECT: RTOP 505-63-01-08
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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