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Surprises in a Classic Boundary-Layer Problem

We revisit a textbook example of a singularly perturbed nonlinear boundary-value problem. Unexpectedly, it shows a wealth of phenomena that seem to have been overlooked previously, including a pitchfork bifurcation in the number of solutions as one varies the small parameter, and transcendentally small terms in the initial conditions that can be calculated by elementary means. Based on our own classroom experience, we believe this problem could provide an enjoyable workout for students in courses on perturbation methods, applied dynamical systems, or numerical analysis.

Ketersediaan

Informasi Detail

Judul Seri

SIAM REVIEW; Vol.65 No.1 March 2023

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 291-315

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

DYNAMICAL SYSTEMS
BOUNDARY LAYER
MATCHED ASYMPTOTICS
SINGULAR PERTURBATION
SHOOTING METHOD
HIGHER-ORDER MATCHING

Info Detail Spesifik

https://doi.org/10.1137/21M1436087

Pernyataan Tanggungjawab

William A. Clark, Mario W. Gomes, Arnaldo Rodriguez-Gonzalez, Leo C. Stein, Steven H. Strogatz

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