Exponentially fitted IMEX methods for advection-diffusion problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:316

Article; Proceedings Paper

Cardone, Angelamaria¹  D'Ambrosio, Raffaele¹  Paternoster, Beatrice¹ 

[1] Univ Salerno, Dept Math, Fisciano, SA, Italy

关键词: Advection-diffusion problems;    Finite differences;    Exponential fitting;    IMEX methods;    Stability analysis;   

DOI  :  10.1016/j.cam.2016.08.025

来源: Elsevier

【 摘 要 】

The paper is devoted to the numerical solution of advection-diffusion problems of Boussinesq type, by means of adapted numerical methods. The adaptation occurs at two levels: along space, by suitably semidiscretizing the spatial derivatives through finite differences based on exponential fitting; along time integration, through an adapted IMEX method based on exponential fitting itself. Stability analysis is provided and numerical examples showing the effectiveness of the approach, also in comparison with the classical one, are given. (C) 2016 Elsevier By. All rights reserved.

【 授权许可】

Free