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Dergiler / 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
Sayfa
221–235
Yayın Tarihi
2020-02-06
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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