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Conte, Dajana, Moradi, Leila, Paternoster, Beatrice. (1402). Exponentially fitted IMEX peer methods for an advection-diffusion problem. سامانه مدیریت نشریات علمی, 12(2), 287-303. doi: 10.22034/cmde.2023.53247.2248
Dajana Conte; Leila Moradi; Beatrice Paternoster. "Exponentially fitted IMEX peer methods for an advection-diffusion problem". سامانه مدیریت نشریات علمی, 12, 2, 1402, 287-303. doi: 10.22034/cmde.2023.53247.2248
Conte, Dajana, Moradi, Leila, Paternoster, Beatrice. (1402). 'Exponentially fitted IMEX peer methods for an advection-diffusion problem', سامانه مدیریت نشریات علمی, 12(2), pp. 287-303. doi: 10.22034/cmde.2023.53247.2248
Conte, Dajana, Moradi, Leila, Paternoster, Beatrice. Exponentially fitted IMEX peer methods for an advection-diffusion problem. سامانه مدیریت نشریات علمی, 1402; 12(2): 287-303. doi: 10.22034/cmde.2023.53247.2248

Exponentially fitted IMEX peer methods for an advection-diffusion problem

Computational Methods for Differential Equations
مقاله 6، دوره 12، شماره 2، خرداد 2024، صفحه 287-303    اصل مقاله (1.38 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.53247.2248
نویسندگان
Dajana Conte؛ Leila Moradi* ؛ Beatrice Paternoster
University of Salerno, Fisciano, 84084, Salerno, Italy.
چکیده
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. 
کلیدواژه‌ها
Advection-diffusion problems؛ EF IMEX peer methods؛ Boussinesq equation؛ Finite differences
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