摘要
对血吸虫病模型的第一和第三边值问题，应用离散算子法进行离散化，得到的数值解均恒为非负值且具有极大使原理．同时证明了Ｌ２模和Ｈ１模的最优误差估计，并对第一边值问题给出了最大模估计．
The discrete schemes based on the method of discrete operator for the first and third boundary value problems of the schistosomiasis model are proposed.The approximate solutions keep nonnegative and satisfy the maximum principle.The stability,convergence and error estimates of the method are discussed,and the optimal convergence rates in L2 and H1-are proved.The maximum norm estimate is given for the first boundary value problems.
出处
《山东大学学报（理学版）》
CAS
CSCD
1995年第1期13-19,共7页
Journal of Shandong University(Natural Science)
基金
国家教委博士点基金
关键词
血吸虫病模型
离散算子
误差估计
最大模估计
discrete operator
schistosomiasis model
error estimate
maximum norm estimate
