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Dergiler / 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
Sayfa
—
Yayın Tarihi
2022-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A numerical experiment is demonstratedto verify the theory.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, singularly perturbed quasilinear boundary value problems are taken into account.
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Temel Bulgular & Veri:With this purpose, a finite difference scheme is proposed on Shishkin-type mesh (S-mesh).
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Sonuç & Katkı:A numerical experiment is demonstratedto verify the theory.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (27)

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