Comparison of the Matched Asymptotic Expansions Method
نویسنده
چکیده
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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