INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS

In this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary cond...

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Format: Article
Language:English
Published: University of Tehran 2001-06-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31808_f31efb40c3fc53db5cef2f8bf9a04a1a.pdf
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description In this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.
format Article
id doaj-art-c10a39bbb7904fc0ae8debecfcd8775f
institution OA Journals
issn 1016-1104
2345-6914
language English
publishDate 2001-06-01
publisher University of Tehran
record_format Article
series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-c10a39bbb7904fc0ae8debecfcd8775f2025-08-20T01:53:33ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142001-06-0112231808INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONSIn this paper, we investigate a singular perturbation problem including a fourth order O.D.E. with general linear boundary conditions. Firstly, we obtain the necessary conditions of solution of O.D.E. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.https://jsciences.ut.ac.ir/article_31808_f31efb40c3fc53db5cef2f8bf9a04a1a.pdf
spellingShingle INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
Journal of Sciences, Islamic Republic of Iran
title INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
title_full INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
title_fullStr INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
title_full_unstemmed INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
title_short INVESTIGATION OF BOUNDARY LAYERS IN A SINGULAR PERTURBATION PROBLEM INCLUDING A 4TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
title_sort investigation of boundary layers in a singular perturbation problem including a 4th order ordinary differential equations
url https://jsciences.ut.ac.ir/article_31808_f31efb40c3fc53db5cef2f8bf9a04a1a.pdf