摘要
建立二维非饱和水流问题的全离散广义差分格式,讨论了全离散广义差分解的存在唯一性,并给出最优误差估计的证明.最后给出数值算例,验证方法的有效性.
A numerical model for an unsaturated soil water flow equation is established with the generalized difference method.The existence and uniqueness of the fully discrete generalized difference solution are proved,and the error estimates of the fully discrete generalized difference solutions are analyzed.And finally,a numerical example is given.
出处
《系统科学与数学》
CSCD
北大核心
2010年第9期1163-1174,共12页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10871217)
重庆市教委科技基金
重庆市自然科学基金计划项目资助课题
关键词
非饱和水流
全离散
广义差分格式
数值模拟
Unsaturated water flow
fully discrete
generalized difference
numerical simulation