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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 14 Issue: 1

A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh

Hakkı Duru(VAN YÜZÜNCÜ YIL ÜNİVERSİTESİ)0000-0002-3179-3758
Mutlu Demirbaş(VAN YÜZÜNCÜ YIL ÜNİVERSİTESİ)0000-0001-8187-3919
Pages
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Publication Date
2022-06-30
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AI Summary & Key Takeaways

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

A numerical experiment is demonstratedto verify the theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, singularly perturbed quasilinear boundary value problems are taken into account.
📊
Key Findings & Data:With this purpose, a finite difference scheme is proposed on Shishkin-type mesh (S-mesh).
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Conclusion & Impact:A numerical experiment is demonstratedto verify the theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Boundary value problem · error estimate · difference scheme

Abstract

In this paper, singularly perturbed quasilinear boundary value problems are taken into account. With this purpose, a finite difference scheme is proposed on Shishkin-type mesh (S-mesh). Quasilinearization technique and interpolating quadrature rules are used to establish the numerical scheme. Then, an error estimate is derived. A numerical experiment is demonstratedto verify the theory.

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Cite This Article

Duru, H., Demirbaş, M. (2022). A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 1. https://doi.org/10.47000/tjmcs.1010528

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