Comparison of the matched asymptotic expansions method and the two-variable technique

Bouthier, M.

doi:10.1090/qam/724052

Author: M. Bouthier
Journal: Quart. Appl. Math. 41 (1984), 407-422
MSC: Primary 76D10; Secondary 35C20, 35J40
DOI: https://doi.org/10.1090/qam/724052
MathSciNet review: 724052
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Abstract: Either the matched asymptotic expansions method or the two-variable technique are available for treating boundary layer problems. A comparison of the two methods is achieved on dealing with elliptic boundary value problems. The two-variable technique is proved to be slightly more powerful than the matched expansions method. Nevertheless it fails to determine a closed class of approximate solutions. Such a class, which involves the results of both the asymptotic methods is set out with help of an asymptotic equivalence theorem.

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