二维粘弹性棒和板问题ADI有限差分法  

ADI Finite Difference Method for Two Dimensional Viscoelastic Rod and Plate Problems

作　　者：彭家 黎丽梅[1] 肖华 郭欣雨 PENG Jia;LI Limei;XIAO Hua;GUO Xinyu(School of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2022年第1期4-9,共6页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：用交替方向隐式(ADI)有限差分法研究二维粘弹性棒和板问题的数值解,在时间方向采用向后Euler格式,积分项用一阶卷积求积公式逼近,空间方向用二阶中心差商离散,并通过数值例子验证理论分析的正确性.The alternating direction implicit(ADI)finite difference method was used to study the numerical solution of two-dimensional viscoelastic rod and plate problems.Firstly,the backward Euler scheme was adopted in the time direction,the integral term was approximated by the first-order convolution quadrature formula.Then,the spatial direction was discretized by the second-order central difference quotient.Finally,a numerical example was used to confirm the correctness of the theoretical analysis.

关 键 词：交替方向隐式法 有限差分法 弱奇异核 向后Euler方法 

分 类 号：O241.82[理学—计算数学]