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

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

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