Yıl: 2022 Cilt: 14 Sayı: 1 Sayfa Aralığı: 145 - 154 Metin Dili: İngilizce DOI: 10.47000/tjmcs.1010528 İndeks Tarihi: 17-01-2023

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

Öz:
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.
Anahtar Kelime: Boundary value problem error estimate difference scheme Shishkin mesh

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Duru H, Demirbaş M (2022). A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. , 145 - 154. 10.47000/tjmcs.1010528
Chicago Duru Hakkı,Demirbaş Mutlu A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. (2022): 145 - 154. 10.47000/tjmcs.1010528
MLA Duru Hakkı,Demirbaş Mutlu A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. , 2022, ss.145 - 154. 10.47000/tjmcs.1010528
AMA Duru H,Demirbaş M A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. . 2022; 145 - 154. 10.47000/tjmcs.1010528
Vancouver Duru H,Demirbaş M A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. . 2022; 145 - 154. 10.47000/tjmcs.1010528
IEEE Duru H,Demirbaş M "A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh." , ss.145 - 154, 2022. 10.47000/tjmcs.1010528
ISNAD Duru, Hakkı - Demirbaş, Mutlu. "A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh". (2022), 145-154. https://doi.org/10.47000/tjmcs.1010528
APA 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, 14(1), 145 - 154. 10.47000/tjmcs.1010528
Chicago Duru Hakkı,Demirbaş Mutlu A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. Turkish Journal of Mathematics and Computer Science 14, no.1 (2022): 145 - 154. 10.47000/tjmcs.1010528
MLA Duru Hakkı,Demirbaş Mutlu A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. Turkish Journal of Mathematics and Computer Science, vol.14, no.1, 2022, ss.145 - 154. 10.47000/tjmcs.1010528
AMA Duru H,Demirbaş M A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. Turkish Journal of Mathematics and Computer Science. 2022; 14(1): 145 - 154. 10.47000/tjmcs.1010528
Vancouver Duru H,Demirbaş M A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh. Turkish Journal of Mathematics and Computer Science. 2022; 14(1): 145 - 154. 10.47000/tjmcs.1010528
IEEE Duru H,Demirbaş M "A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh." Turkish Journal of Mathematics and Computer Science, 14, ss.145 - 154, 2022. 10.47000/tjmcs.1010528
ISNAD Duru, Hakkı - Demirbaş, Mutlu. "A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh". Turkish Journal of Mathematics and Computer Science 14/1 (2022), 145-154. https://doi.org/10.47000/tjmcs.1010528