拟线性双曲—抛物奇异摄动问题的变步长差分格式  

Asymptotic Expansion for Quasi-liner Singular Perturbation Problem of Hyperbolic—Parrabolic Partial Differential Equations

作　　者：陈国玉[1] 

机构地区：[1]解放军陆军军官学院,安徽合肥230001

出　　处：《甘肃科学学报》2012年第2期17-19,共3页Journal of Gansu Sciences

基　　金：解放军陆军军官学院后备人才基金(20070523)

摘　　要：根据关于小参数ε一致收敛的要求,构造了t方向的变步长网格函数,建立了时间方向上的非均匀网格,然后在此非均匀网格上构造了关于小参数收敛的七点三层隐式差分格式,证明了该差分格式关于ε的一致收敛性.The mesh function is first constructed with variable step lengths along the direction of time under the condition that the perturbation function is uniformly convergent with respect to the small parameter ε. Then a non-uniform mesh is constructed along the direction of time. The uniformly convergence of this difference scheme with respect to the small parameter is finally proved.

关 键 词：网格函数 非均匀网格 离散稳定不等式 一致收敛 

分 类 号：O175.1[理学—数学]