摘要
通过引入变量将方程从形式上降阶,提出了求解一类拟线性神经传播方程的紧局部一维(LOD)差分格式,并应用能量方法给出了格式的误差估计,得到该格式在L2模下具有O(Δt2+h4)的精度.最后通过数值例子验证了算法的有效性.
A kind of compact LOD finite difference scheme is proposed for a class of quasi-linear nerve conduction equation by introducing new variables to formally reduce the order of the equation, and by using the energy method the error estimate is given with the optimal order O（Δt^2＋h^4） in L^2 norm. Finally a numerical example is presented to illustrate the efficiency of the scheme.
出处
《天津师范大学学报（自然科学版）》
CAS
北大核心
2009年第1期1-6,共6页
Journal of Tianjin Normal University：Natural Science Edition
关键词
拟线性神经传播方程
紧LOD差分格式
误差估计
quasi-linear nerve conduction equation
compact LOD finite difference scheme
error estimate
