Geodesic
Regularized asymptotics of the solution of systems of parabolic differential equations
Filomat, Tome 36 (2022) no. 16, p. 5591

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DOI

The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t = 0, the boundary layer along x = 0 and x = 1 is described by parabolic boundary layer functions.
DOI : 10.2298/FIL2216591O
Classification : 39A14, 34E10
Keywords: singularly perturbed, the system of parabolic equations, regularized asymptotic, parabolic boundary layer function 
Asan Omuraliev; Ella Abylaeva. Regularized asymptotics of the solution of systems of parabolic differential equations. Filomat, Tome 36 (2022) no. 16, p. 5591 . doi: 10.2298/FIL2216591O
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     title = {Regularized asymptotics of the solution of systems of parabolic differential equations},
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     doi = {10.2298/FIL2216591O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216591O/}
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