Open AccessCompact implicit integration factor method for two-dimensional space-fractional advection-diffusion-reaction equations
Author(s) -
Huan-Yan Jian,
TingZhu Huang,
Xian-Ming Gu,
Yongliang Zhao
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 - 10.1088/1742-6596/1592/1/012048
Subject(s) - discretization , mathematics , nonlinear system , advection , robustness (evolution) , mathematical analysis , linear multistep method , reaction–diffusion system , stability (learning theory) , numerical methods for ordinary differential equations , numerical analysis , ordinary differential equation , differential equation , computer science , differential algebraic equation , physics , biochemistry , chemistry , quantum mechanics , machine learning , gene , thermodynamics
In this paper, we intend to develop an effective numerical method to solve a class of two-dimensional space-fractional advection-diffusion-reaction equations. After spatially discretizing this equation using the fractional centered difference formula, it leads to a system of nonlinear ordinary differential equations. The compact implicit integration factor method is applied to solve the resulting system to achieve good stability and robustness. Linear stability analysis and numerical experiments are given to verify that the compact implicit integration factor method has excellent efficiency and stability properties.