Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary conditions
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIM-7-4_004
تاریخ نمایه سازی: 27 دی 1402
Abstract:
Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with general non-local boundary condition. It needs to say that it is simple for local boundary conditions and there is no difficulty. However, the formation of boundary layers for non-local case is not as stright forward as local case. To tackle this problem generalized solution of differential equation and some necessary conditions are used.
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Authors
N. Aliev
Department of Mathematics, Baku State University, Baku, Azarbaijan.
S. Ashrafi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
A. R. Sarakhsi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.