烟台大学学报（自然科学与工程版）2025，Vol.38Issue(4)：386-394,9.DOI:10.13951/j.cnki.37-1213/n.241111
Lotka-Volterra竞争模型的高阶紧致有限差分方法
A High-order Compact Finite Difference Method for Lotka-Volterra Competition Model
摘要
Abstract
High-order compact implicit finite difference schemes are constructed for the Lotka-Volterra(L-V)com-petition model.By combining fourth-order compact finite difference schemes for spatial derivatives with the trunca-tion error remainder correction method for temporal derivatives,the proposed schemes achieve second-order accura-cy in time and fourth-order accuracy in space.The stability and convergence of the schemes are proved via the en-ergy analysis method.Numerical simulations demonstrate the effectiveness of the approach.关键词
L-V竞争模型/紧致有限差分格式/稳定性/收敛性Key words
L-V competition model/compact finite difference scheme/stability/convergence分类
数理科学引用本文复制引用
谢安琪,薛冠宇..Lotka-Volterra竞争模型的高阶紧致有限差分方法[J].烟台大学学报（自然科学与工程版）,2025,38(4):386-394,9.基金项目
国家自然科学基金资助项目(12101536) （12101536）
烟台大学教学改革研究项目(JYXM2023035). （JYXM2023035）
