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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh

A.s.v. Ravi KANTH
P. Murali Mohan KUMAR
Pages
221–235
Publication Date
2020-02-06
DOI
—
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AI Summary & Key Takeaways

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

Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article presents a hybrid numerical scheme for a class of linear and nonlinear singularly perturbed convection delay problems on piecewise uniform.
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Key Findings & Data:The proposed hybrid numerical scheme comprises with the tension spline scheme in the boundary layer region and the midpoint approximation in the outer region on piecewise uniform mesh.
💡
Conclusion & Impact:Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nonlinear delay problems · differential-difference equations · singular perturbation problems

Abstract

This article presents a hybrid numerical scheme for a class of linear and nonlinear singularly perturbed convection delay problems on piecewise uniform. The proposed hybrid numerical scheme comprises with the tension spline scheme in the boundary layer region and the midpoint approximation in the outer region on piecewise uniform mesh. Error analysis of the proposed scheme is discussed and is shown $\varepsilon$-uniformly convergent. Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.

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Cite This Article

KANTH, A. R., KUMAR, P. M. M. (2020). Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 221–235. https://ajindex.com/articles/669307

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