一类椭圆型变系数方程的差分格式  

A Finite Difference Scheme for A Class of Elliptic Differential Equation with Variable Coefficients

作　　者：钟婷[1] 陈宗燕[1] 肖雪玲[1] 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641112

出　　处：《保山学院学报》2010年第2期57-61,共5页JOURNAL OF BAOSHAN UNIVERSITY

基　　金：内江师范学院青年基金项目(08NJZ-2);内江师范学院大学生科学研究课题09NSD-170

摘　　要：研究了一类二阶椭圆型变系数方程的初边值问题的求解方法,建立了一种差分格式,并且运用能量方法证明了这种格式的解的存在唯一性、收敛性和稳定性,所得结果是对相关文献中结果的一个补充。The initial boundary value problem of a second order elliptic differential equation with variable coefficients is studied. A finite difference scheme is established, and the existence, convergence and stability of this difference scheme is analysised with the apply of the energy method,the result obtained can serve as a complement to the known results in related literatures.

关 键 词：椭圆型方程 差分方法 收敛性 稳定性 

分 类 号：O13[理学—数学]