Accelerated , tted operator , nite di, erence method for singularly perturbed parabolic reaction-di, usion problems

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Aga Bullo Tesfaye; File Duressa Gemechis; Aymard Degla Guy

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Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:3 Page(s): 886-898

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Title

Accelerated , tted operator , nite di, erence method for singularly perturbed parabolic reaction-di, usion problems

Author(s)

Aga Bullo Tesfaye | File Duressa Gemechis | Aymard Degla Guy | Issue Writer Certificate

Keywords

Singularly perturbed parabolic problems

Reaction-di

usion

Fitted operator

Accurate solu-tion

Abstract

This paper deals with the numerical treatment of singularly perturbed parabolic Reaction-di, usion initial boundary value problems. Introducing a , tting parameter into the asymptotic solution and applying average , nite di, erence approximation, a , tted operator , nite di, erence method is developed for solving the problem. To ac-celerate the rate of convergence of the method, Richardson extrapolation technique is applied. The consistency and stability of the proposed method have been established very well to ensure the convergence of the method. Numerical experimentation is carried out on some model problems and both the results are presented in tables and graphs. The numerical results are compared with , ndings of some methods existing in the literature and found to be more accurate. Generally, the formulated method is consistent, stable, and more accurate than some methods existing in the literature for solving singularly perturbed parabolic Reaction-di, usion initial boundary value problems.

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APA: Copy

Aga Bullo, Tesfaye, File Duressa, Gemechis, & Aymard Degla, Guy. (2021). Accelerated , tted operator , nite di, erence method for singularly perturbed parabolic reaction-di, usion problems. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(3), 886-898. SID. https://sid.ir/paper/1058261/en

Vancouver: Copy

Aga Bullo Tesfaye, File Duressa Gemechis, Aymard Degla Guy. Accelerated , tted operator , nite di, erence method for singularly perturbed parabolic reaction-di, usion problems. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(3):886-898. Available from: https://sid.ir/paper/1058261/en

IEEE: Copy

Tesfaye Aga Bullo, Gemechis File Duressa, and Guy Aymard Degla, “Accelerated , tted operator , nite di, erence method for singularly perturbed parabolic reaction-di, usion problems,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 3, pp. 886–898, 2021, [Online]. Available: https://sid.ir/paper/1058261/en

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