Exponentially fitted IMEX peer methods for an advection-diffusion problem

被引：0
|
作者：
Conte, Dajana [1 ]
Moradi, Leila [1 ]
Paternoster, Beatrice [1 ]
机构：
[1] Univ Salerno, I-84084 Salerno, Italy
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 02期
关键词：
Advection-diffusion problems; EF IMEX peer methods; Boussinesq equation; Finite differences; RUNGE-KUTTA METHODS; IMPLICIT EXPLICIT METHODS; GENERAL LINEAR METHODS; 2-STEP PEER; NUMERICAL-SOLUTION; QUADRATURE-RULES; MULTISTEP METHODS; TIME-INTEGRATION; DISPERSION; STABILITY;
D O I：
10.22034/cmde.2023.53247.2248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：287 / 303
页数：17
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