摘要
本文对如下的三维广义神经传播型方程的初边值问题D_t^2U一△D_tu+f(U)D_tu+g(u)=h(x,t),(x,t)∈Ω×(0,T]u(x,O)=u_o(x),D_tu(x,O)=u_1(x),x∈Ω,u l_αΩ=O,t∈(0,T].用Chebyshev 拟谱方法作了数值分析,构造了半离散和三层线性全离散拟谱格式,证明了近似解的误差估计,并给出了一个简单算例.
In this paper, we consider the Chebyshev pseudo-spectral approximation problem for the initial boundary value problem of the three dimensional nonlinear gen-eralized nerve transmission type pseudo-hyperbolic equation. We construct a fully discrete pseudospectral scheme, and the error estimation for discrete solution is proved.
出处
《黑龙江大学自然科学学报》
CAS
1991年第3期35-44,共10页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省自然科学基金
关键词
初边值问题
C-拟谱方法
误差估计
Pseudo-Hyperbolic for three dimensional nonlinear generalized nevertransmission type equation, Cheybyshev pseudo-spectrol method
