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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 180–196
(Mi timm1270)
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This article is cited in 1 scientific paper (total in 1 paper)
On a double boundary layer in a nonlinear boundary value problem
S. A. Kordyukovaa, L. A. Kalyakinb a Ufa State University of Economics and Service
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Abstract:
A nonlinear second order differential equation with a small parameter at derivatives is considered in the case when the limiting algebraic equation has a multiple root. The matching method is applied to construct an asymptotic expansion for the solution of the boundary value problem. Two boundary layer variables with different scale are used to describe the asymptotic solution near the boundary.
Keywords:
nonlinear equation, small parameter, asymptotics, boundary layer, matching method.
Received: 16.11.2015
Citation:
S. A. Kordyukova, L. A. Kalyakin, “On a double boundary layer in a nonlinear boundary value problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 180–196; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 129–146
Linking options:
https://www.mathnet.ru/eng/timm1270 https://www.mathnet.ru/eng/timm/v22/i1/p180
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Abstract page: | 224 | Full-text PDF : | 66 | References: | 56 | First page: | 27 |
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