应用数学2022，Vol.35Issue(1)：137-146,10.
带Neumann边界条件的延迟泛函偏微分方程线性θ-方法的稳定性
Stability of Linear θ-Method for Delay Partial Functional Differential Equations with Neumann Boundary Conditions
摘要
Abstract
This paper is mainly concerned with the numerical stability of delay partial functional differential equations with Neumann boundary conditions. Firstly, the sufficient condition of asymptotic stability of analytic solutions is obtained. Secondly, the linearθ-method is applied to discretize the above mentioned equation, and the stability of the numerical solutions is discussed for different ranges of parameter θ. Compared with the corresponding equation with Dirichlet boundary conditions, our results are more intuitive and easier to verify. Finally, some numerical examples are presented to illustrate our theoretical results.关键词
延迟泛函偏微分方程/Neumann边界条件/线性θ-方法/渐近稳定性Key words
Delay partial functional differential equation/Neumann boundary condition/Linearθ-method/Asymptotic stability分类
数理科学引用本文复制引用
陈永堂,王琦..带Neumann边界条件的延迟泛函偏微分方程线性θ-方法的稳定性[J].应用数学,2022,35(1):137-146,10.基金项目
Supported by the National Natural Science Foundation of China(11201084,61803095)and Natural Science Foundation of Guangdong Province(2017A030313031,18ZK0174) （11201084,61803095）
