带有小参数的二阶双曲型方程混合问题的差分解法  

THE DIFFERENCE METHODS FOR SOLVING MIXED PROBLEMS OF THE SECOND-ORDER HYPERBOLIC EQUATION WITH SMALL PARAMETERS

作　　者：王国英[1] 

机构地区：[1]南京大学

出　　处：《计算数学》1989年第3期248-256,共9页Mathematica Numerica Sinica

摘　　要：考虑带有两个小参数的二阶常系数双曲型方程的混合问题:By means of singular perturbation theory a difference scheme is constructed for a mixedproblem of the second order singularly perturbed equation of hyperbolic type. An energy ine-quality of the numerical solution is given and the numerical solution is proved to converge tothe solution of the singular perturbation problems uniformly with respect to the small para-meters in the sense of a discrete norm.

关 键 词：二阶双曲方程 混合问题 差分法 

分 类 号：O241.4[理学—计算数学]