Munyakazi, Justin B.Patidar, Kailash C.Sayi, Mbani T.2023-03-092023-03-092019Munyakazi, J. B. et al. (2019). A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer. Numerical Methods for Partial Differential Equations, 35 (6) , 2407-2422. 10.1002/num.224201098-242610.1002/num.22420http://hdl.handle.net/10566/8567The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the problemswe consider exhibits an interior layer due to the presence ofa turning point. We first establish sharp bounds on the solu-tion and its derivatives. Then, we discretize the time variableusing the classical Euler method. This results in a system ofsingularly perturbed interior layer two-point boundary valueproblems. We propose a FOFDM to solve the system above.enMathematicsApplied MathematicsProblemArticle