Dergiler / Gazi University Journal of Science / 2020 / Cilt: 33 - Sayı: 1

A Novel Numerical Approach for Solving Convection-Diffusion Problem with Boundary Layer Behavior

Sayfa
152–162
Yayın Tarihi
2020-03-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The numerical results are presented in tables and figures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study deals with a new approach method for solving singularly perturbed boundary value problem of convection-diffusion type.
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Temel Bulgular & Veri:Two examples are given to illustrate the efficiency of the method.
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Sonuç & Katkı:The numerical results are presented in tables and figures.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Singular perturbation · Finite difference scheme · Uniform mesh

Abstract

This study deals with a new approach method for solving singularly perturbed boundary value problem of convection-diffusion type. Firstly, bounds on the solution and its derivative of solution to be used later in the article are obtained. This robust method is constructed with fitted difference scheme on a uniform mesh. It is proved that the presented method is first-order convergent with respect to the perturbation parameter ε in the discrete maximum norm. Two examples are given to illustrate the efficiency of the method. The numerical results are presented in tables and figures.

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Bu Makaleye Atıf Yap

ARSLAN, D., ÇAKIR, M., MASİHA, Y. (2020). A Novel Numerical Approach for Solving Convection-Diffusion Problem with Boundary Layer Behavior. Gazi University Journal of Science, Cilt: 33 - Sayı: 1, 152–162. https://ajindex.com/articles/254193

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Kaynakça (1)

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