Open AccessTwo-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh
Author(s) -
S. V. Tikhovskaya,
M F Korbut
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1546/1/012104
Subject(s) - richardson extrapolation , extrapolation , grid , mathematics , reaction–diffusion system , diffusion , algorithm , finite difference , mathematical analysis , geometry , physics , thermodynamics
A system of two coupled singularly perturbed reaction-diffusion equations is considered. A cascadic two-grid algorithm of high accuracy based on a uniform with respect to small parameters convergent difference scheme for such problem has been developed. To increase the accuracy of the difference solution by an order, the Richardson extrapolation method was applied. The results of some numerical experiments are discussed.