DETECTING THE LOCATION OF THE BOUNDARY LAYERS IN SINGULAR PERTURBATION PROBLEMS WITH GENERAL LINEAR NON-LOCAL BOUNDARY CONDITIONS

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ALIEV N.; ASHRAFI S.; SARAKHSI A.R.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:4 Page(s): 321-326

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Title

DETECTING THE LOCATION OF THE BOUNDARY LAYERS IN SINGULAR PERTURBATION PROBLEMS WITH GENERAL LINEAR NON-LOCAL BOUNDARY CONDITIONS

Author(s)

ALIEV N. | ASHRAFI S. | SARAKHSI A.R. | Issue Writer Certificate

Keywords

GENERALIZED SOLUTIONQ2

NECESSARY CONDITIONSQ2

NON-LOCAL BOUNDARY CONDITIONSQ2

SINGULAR PERTURBATION PROBLEMSQ2

FUNDAMENTAL SOLUTIONQ2

UNIFORM LIMITQ2

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 straight forward as local case. To tackle this problem GENERALIZED SOLUTION of differential equation and some NECESSARY CONDITIONS are used.

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APA: Copy

ALIEV, N., ASHRAFI, S., & SARAKHSI, A.R.. (2015). DETECTING THE LOCATION OF THE BOUNDARY LAYERS IN SINGULAR PERTURBATION PROBLEMS WITH GENERAL LINEAR NON-LOCAL BOUNDARY CONDITIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(4), 321-326. SID. https://sid.ir/paper/231699/en

Vancouver: Copy

ALIEV N., ASHRAFI S., SARAKHSI A.R.. DETECTING THE LOCATION OF THE BOUNDARY LAYERS IN SINGULAR PERTURBATION PROBLEMS WITH GENERAL LINEAR NON-LOCAL BOUNDARY CONDITIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(4):321-326. Available from: https://sid.ir/paper/231699/en

IEEE: Copy

N. ALIEV, S. ASHRAFI, and A.R. SARAKHSI, “DETECTING THE LOCATION OF THE BOUNDARY LAYERS IN SINGULAR PERTURBATION PROBLEMS WITH GENERAL LINEAR NON-LOCAL BOUNDARY CONDITIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 4, pp. 321–326, 2015, [Online]. Available: https://sid.ir/paper/231699/en

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