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Sinc-Galerkin method for solving system of singular perturbed reaction-diffusion problems

Year 2021, Volume: 39 Issue: 2, 203 - 212, 02.06.2021

Abstract

In this paper, the system of singularly Perturbed Reaction-Diffusion problems which are commonly used in physics and chemistry branches of science, were investigated. Sinc-Galerkin Method was used to obtaining the solution of problems. Because of there is no article about Sinc-Galerkin Method related to singularly perturbed Reaction-Diffusion problems in literature, the efficiency of the method was shown via this problem. There are important results that occurred after our research and application. Sinc Galerkin Method which was used in this paper as the main solution method gave better results according to parameter robust method and asymptotical initial value method. The figures and the tables show this competence and low errors.

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There are 30 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Aydin Secer This is me 0000-0002-8372-2441

Ismail Onder This is me 0000-0001-8380-6381

Muslum Ozısık This is me 0000-0001-6143-5380

Publication Date June 2, 2021
Submission Date January 4, 2020
Published in Issue Year 2021 Volume: 39 Issue: 2

Cite

Vancouver Secer A, Onder I, Ozısık M. Sinc-Galerkin method for solving system of singular perturbed reaction-diffusion problems. SIGMA. 2021;39(2):203-12.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/