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

被引：1

作者：

Yuan, Gangnan ^{[1
,2
]}

Ding, Deng ^{[3
]}

Lu, Weiguo ^{[3
]}

Wu, Fengyan ^{[4
]}

机构：

[1] Great Bay Univ, Sch Sci, Dongguan 523000, Guangdong, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[3] Univ Macau, Dept Math, Taipa 999078, Macau, Peoples R China

[4] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Phytoplankton-zooplankton; Alternating direction implicit (ADI) method; Convergence; Stability; DISCONTINUOUS GALERKIN METHODS; DELAY-DIFFERENTIAL EQUATIONS; NUMERICAL-SOLUTION; DIFFUSION; STABILITY; CONVERGENCE; COLLOCATION; DYNAMICS; BEHAVIOR; SCHEMES;

D O I：

10.1007/s40314-023-02570-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：22

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