TY - JOUR ID - 12977 TI - Uniformly convergent fitted operator method for singularly perturbed delay differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Woldaregay, Mesfin Mekuria AU - Debela, Habtamu Garoma AU - Duressa, Gemechis File AD - Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia. AD - Department of Mathematics, Jimma University, Jimma, Ethiopia. Y1 - 2022 PY - 2022 VL - 10 IS - 2 SP - 502 EP - 518 KW - fitted operator KW - Singularly perturbed problem KW - uniform convergence DO - 10.22034/cmde.2021.41166.1789 N2 - This paper deals with the numerical treatment of singularly perturbed delay differential equations having a delay on the first derivative term. The solution of the considered problem exhibits boundary layer behavior on the left or right side of the domain depending on the sign of the convective term. The term with the delay is approximated using Taylor series approximation, resulting in an asymptotically equivalent singularly perturbed boundary value problem. The uniformly convergent numerical scheme is developed using exponentially fitted finite difference method. The stability of the scheme is investigated using solution bound. The uniform convergence of the scheme is discussed and proved. Numerical examples are considered to validate the theoretical analysis.  UR - https://cmde.tabrizu.ac.ir/article_12977.html L1 - https://cmde.tabrizu.ac.ir/article_12977_8b19ddf041d364852e4352dfa5cd2e42.pdf ER -