Comparison of the matched asymptotic expansions method and the two-variable technique-Reference-Cited by-同舟云学术

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

Published:1984 Issue:4 Volume:41 Page:407-422
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Bouthier M.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1984-41-04/S0033-569X-1984-0724052-5/S0033-569X-1984-0724052-5.pdf

Reference18 articles.

1. M. Bouthier, Développements asymptotiques à deux types d’échelles et perturbation singulière de problèmes aux limites elliptiques, Paris, Thèse d’Etat, Université Paris 6, 1977

2. The two-variable technique for singular partial differential problems and its justification;Bouthier, M.;Quart. Appl. Math.,1980

3. G. Comstock, Singular perturbation of elliptic equations, SIAM J. Appl. Math. 20, 491–502 (1971)

4. Studies in Mathematics and its Applications;Eckhaus, Wiktor,1979

5. Two-variable expansions for singular perturbations;Erdélyi, A.;J. Inst. Math. Appl.,1968

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