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- Title
Exponentially fitted IMEX peer methods for an advection-diffusion problem.
- Authors
Conte, Dajana; Moradi, Leila; Paternoster, Beatrice
- Abstract
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.
- Subjects
ADVECTION-diffusion equations; EXPONENTIAL functions; DISCRETIZATION methods; FINITE difference method; BOUSSINESQ equations
- Publication
Computational Methods for Differential Equations, 2024, Vol 12, Issue 2, p287
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/CMDE.2023.53247.2248