摘要
首先对给定的方程进行恒等变换,再把MMOCAA差分方法与UNO插值相结合,提出了方程的MMOCAA-UNO差分方法,避免了基于k次Lagrange插值的MMOCAA差分方法在方程的解的陡峭前沿附近产生振荡．通过引入插值算子等方法给出了格式的误差估计．数值实验说明理论分析的正确性和格式的有效性．
Through applying an equivalent transformation of geiven equation and blending MMOCAA difference method with UNO interplation, the MMOCAA-UNO difference method is presented for the equation in the paper, which is free from oscillation of MMOCAA difference method based on k order Lagrange interplation at the sharp front. The methods of ancillary interpolating operater etc. are introduced to get error estimates of MMOCAA-UNO difference scheme. The numerical examples show that the new scheme is free from the oscillation.
出处
《生物数学学报》
CSCD
北大核心
2006年第4期571-579,共9页
Journal of Biomathematics
基金
国家自然科学基金(19990141150)
教育部优秀青年教师基金
教育部博士点基金(60073038)部分资助
关键词
神经传播方程
特征差分方法
误差估计
Neurve conduction equation
Characteristics difference
Error estimates
