University of Tabriz Computational Methods for Differential Equations 2345-3982 12 2 2024 03 01 Exponentially fitted IMEX peer methods for an advection-diffusion problem 287 303 16641 10.22034/cmde.2023.53247.2248 EN Dajana Conte University of Salerno, Fisciano, 84084, Salerno, Italy. Leila Moradi University of Salerno, Fisciano, 84084, Salerno, Italy. Beatrice Paternoster University of Salerno, Fisciano, 84084, Salerno, Italy. Journal Article 2022 08 31 In this paper, Implicit-Explicit (IMEX) Exponential Fitted (EF) peer methods are proposed for the numerical solution of an advection-diffusion problem exhibiting an oscillatory solution. Adapted numerical methods both in space and in time are constructed. The spatial semi-discretization of the problem is based on finite differences, adapted to both the diffusion and advection terms, while the time discretization employs EF IMEX peer methods. The accuracy and stability features of the proposed methods are analytically and numerically analyzed.  https://cmde.tabrizu.ac.ir/article_16641_b69dfb5bd66d308205963120eeeec233.pdf