A linearized fourth-order compact ADI method for phytoplankton–zooplankton model arising in marine ecosystem

被引：0
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作者：
Gangnan Yuan
Deng Ding
Weiguo Lu
Fengyan Wu
机构：
[1] Great Bay University,School of Sciences
[2] University of Science and Technology of China,School of Mathematical Sciences
[3] University of Macau,Department of Mathematics
[4] Chongqing University,College of Mathematics and Statistics
来源：
Computational and Applied Mathematics | 2024年 / 43卷
关键词：
Phytoplankton–zooplankton; Alternating direction implicit (ADI) method; Convergence; Stability; 94A60;
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摘要：
Mathematical models and numerical simulations have been prominently successful in providing insight for the exploration of evolution mechanism in scientific engineering. In this paper, a linearized fourth-order compact alternating direction implicit (ADI) method is developed to numerically solve a mathematical model, which includes phytoplankton–zooplankton interactions arising in marine ecosystem. The solvability, convergence and stability of the proposed method are discussed as well. It is proven that the proposed method is fourth-order accurate in space and second-order accurate in time. Finally, we present several numerical simulations to confirm the theoretical results.
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