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

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Atıf İçin Kopyala

DURU H., Demirbaş M.

Turkish Journal of Mathematics and Computer Science, cilt.14, sa.1, ss.145-154, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 14 Sayı: 1
• Basım Tarihi: 2022
• Doi Numarası: 10.47000/tjmcs.1010528
• Dergi Adı: Turkish Journal of Mathematics and Computer Science
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.145-154
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.