2021Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri DergisiOpen access

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

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Abstract

In this paper, the system of singularly Perturbed Reaction-Diffusion p roblems w hich a re 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 liter- ature, 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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What this paper is about

In this paper, the system of singularly Perturbed Reaction-Diffusion p roblems w hich a re 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 liter- ature, 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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Available abstract

In this paper, the system of singularly Perturbed Reaction-Diffusion p roblems w hich a re 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 liter- ature, 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.

Key concepts: Sinc function, Galerkin method, Reaction–diffusion system, Mathematics, Diffusion, Applied mathematics, Singular perturbation, Mathematical analysis

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