(8)Computational method for singularly perturbed delay differential equations of the reaction-diffusion type with negative shift

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Gashu Gadisa Kiltu^a,∗, Gemechis File Duressa^b, Tesfaye Aga Bullo^b

^a Department of Mathematics, Madda Walabu University, P.O. Box 247, Bale Robe, Ethiopia 

^b Department of Mathematics, Jimma University, P. O. Box 378, Jimma, Ethiopia 

Received 16 May 2019; received in revised form 13 November 2020; accepted 4 February 2021 

Available online 6 February 2021

Abstract

    A numerical method for solving singularly perturbed delay differential equations with a layer or oscillatory behavior for which a small shift is introduced in the reaction term is presented. The stability and convergence of the method have been investigated. To demonstrate the efficiency of the method, two model examples have been presented. Numerical results obtained by the present scheme described that the finding of the present method is accurate than the findings of the previous studies. 

© 2021 Shanghai Jiaotong University. Published by Elsevier B.V. 

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords: Singularly perturbed; Delay differential equations; Convergence; El Niño model.