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Journals / Turkish Journal of Mathematics and Computer Science / 2020 / Cilt: 12 - Sayı: 1

On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer

Derya ARSLAN
Pages
31–38
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, by a numerical experiment, we demonstrate the efficiency of the proposedmethod

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we propose an important numerical method for the numerical solution of singularlyperturbed convection-diffusion five points boundary value problem using nonuniform mesh.
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Key Findings & Data:First, we give the somebehaviours of the exact solution and its first derivative.
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Conclusion & Impact:Furthermore, by a numerical experiment, we demonstrate the efficiency of the proposedmethod
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we propose an important numerical method for the numerical solution of singularlyperturbed convection-diffusion five points boundary value problem using nonuniform mesh. First, we give the somebehaviours of the exact solution and its first derivative. We establish finite difference scheme, which is based oninterpolating quadrature rules. Then, we prove the convergence of difference scheme and it is uniformly convergentin ε perturbation parameter. Furthermore, by a numerical experiment, we demonstrate the efficiency of the proposedmethod

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Cite This Article

ARSLAN, D. (2022). On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science, Cilt: 12 - Sayı: 1, 31–38. https://ajindex.com/articles/609105

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References (1)

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