On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer

Arslan, Derya

On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer

Derya ARSLAN (Bitlis Eren Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Bitlis, Türkiye)

Turkish Journal of Mathematics and Computer Science

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Yıl: 2020 Cilt: 12 Sayı: 1 Sayfa Aralığı: 31 - 38 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer

Öz:

In this study, we propose an important numerical method for the numerical solution of singularlyperturbed convection-diffusion five points boundary value problem using nonuniform mesh. First, we give the somebehaviours of the exact solution and its first derivative. We establish finite difference scheme, which is based oninterpolating quadrature rules. Then, we prove the convergence of difference scheme and it is uniformly convergentin ε perturbation parameter. Furthermore, by a numerical experiment, we demonstrate the efficiency of the proposedmethod

Anahtar Kelime: five point boundary condition Singular perturbation finite difference scheme uniformly convergence nonuniform mesh discrete maximum norm

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Arslan D (2020). On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. , 31 - 38.
Chicago	Arslan Derya On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. (2020): 31 - 38.
MLA	Arslan Derya On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. , 2020, ss.31 - 38.
AMA	Arslan D On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. . 2020; 31 - 38.
Vancouver	Arslan D On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. . 2020; 31 - 38.
IEEE	Arslan D "On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer." , ss.31 - 38, 2020.
ISNAD	Arslan, Derya. "On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer". (2020), 31-38.

APA	Arslan D (2020). On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science, 12(1), 31 - 38.
Chicago	Arslan Derya On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science 12, no.1 (2020): 31 - 38.
MLA	Arslan Derya On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science, vol.12, no.1, 2020, ss.31 - 38.
AMA	Arslan D On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science. 2020; 12(1): 31 - 38.
Vancouver	Arslan D On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer. Turkish Journal of Mathematics and Computer Science. 2020; 12(1): 31 - 38.
IEEE	Arslan D "On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer." Turkish Journal of Mathematics and Computer Science, 12, ss.31 - 38, 2020.
ISNAD	Arslan, Derya. "On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer". Turkish Journal of Mathematics and Computer Science 12/1 (2020), 31-38.