求解二阶双曲型方程的自适应网格方法  

Adaptive Mesh Method for Solving a Second-Order Hyperbolic Equation

作　　者：周琴[1] 杨银[2] Zhou Qin;Yang Yin(School of Information , Mechanical and Electrical Engineering, Hunan International Economics University, Changsha 410205;Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan Xiangtan 411105)

机构地区：[1]湖南涉外经济学院信息与机电工程学院,长沙410205 [2]湘潭大学科学工程计算与数值仿真湖南省重点实验室,湖南湘潭411105

出　　处：《数学物理学报（A辑）》2019年第4期942-950,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11671342);湖南省教育厅科学研究项目基金(18C1097);湖南省自然科学基金(2018JJ2374)~~

摘　　要：该文针对一类带小参数的二阶双曲型方程,提出了基于有限差分格式的自适应移动网格方法,给出了具体的移动网格算法,并通过数值实验验证了该方法的优越性,改进了均匀网格上求解的结果.In this paper, we study a class of second-order hyperbolic equations with small parameters. An adaptive moving mesh method for solving the equation with finite differencing scheme is proposed, and the moving mesh algorithm is given. The superiority of the method is verified by numerical experiments, and the result on uniform mesh is improved.

关 键 词：双曲方程 差分格式 自适应移动网格 网格迭代 

分 类 号：O241.82[理学—计算数学]