Analysis of the Layer Behavior to the Parameterized Problem with Integral Boundary Condition

Year 2017, Volume: 10 Issue: 2, 296 - 302, 22.12.2017

Mustafa Kudu

Abstract

A parameterized
singularly perturbed first order quasilinear boundary value problem with integral
boundary conditions is considered.
Asymptotic estimates for the solution and its first derivative have been
established. Given an example supports these theoretical results and indicate that the estimates are sharp.
The estimates are obtained with the use of a mathematical technique that can
also be applied in appropriate grid computations.

Keywords

Parameterized problem, Asymptotic estimate Singular perturbation, Boundary layer, integral boundary conditions

Analysis of the Layer Behavior to the Parameterized Problem with Integral Boundary Condition

Abstract

Bu çalışmada, integral
sınır şartlı parametreye bağlı singüler pertürbe özellikli kuazi-lineer
sınır-değer problemi ele alınmıştır. Problemin çözümü ve birinci türevleri için
asimptotik değerlendirmeler elde edilmiştir. Bu teorik sonuçları destekleyen ve
değerlendirmelerin kesin olduğunu gösteren bir örnek verilmiştir. Asimptotik
değerlendirmelerin elde edilmesinde kullanılan yöntem uygun nümerik çözümlerin
incelenmesinde kullanılabilir.

Keywords

Parametreli problem, Asimptotik değerlendirme, Singüler pertürbasyon, Sınır katı, İntegral sınır şartı

References

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