摘要
用待定参数法对一维抛物型方程构造了一个高精度恒稳定的隐式差分格式,格式的截断误差达O(Δt4+Δx6),可用追赶法求解.
In this paper,we present an implicit difference scheme with high accuracy and branching absolute stability for solving one-dimensional parabolic partial differential equation by using the method of undetermined parameters.The truncation error is O(Δt^4+Δt^6) and the scheme can be solved by double sweeping method.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第2期6-9,共4页
Journal of Henan Normal University(Natural Science Edition)
基金
河南省教育厅自然科学基金资助项目(20031100010)
关键词
一维抛物型方程
隐式差分格式
分支绝对稳定
one-dimensional parabolic equation
implicit difference scheme
branching absolute stability
