摘要
对四阶抛物型方程构造了一族含参数高精度三层差分格式 .当参数满足一定的条件时 ,差分格式稳定 ,局部截断误差阶数最高可达 O(τ2 +h6) .最后 ,用数值例子说明对稳定性所作的分析是正确的 .
A family of highly accurate and three layer difference schemes containing parameter are constructed for solving parabolic equation of four order. In case the parameter satisfies definite conditions, these difference schemes are stable, with the maximum order of local truncation error up to O(τ 2+h 6) . The stability analysis is shown by numerical example to be correct.
出处
《华侨大学学报（自然科学版）》
CAS
2003年第1期11-15,共5页
Journal of Huaqiao University(Natural Science)
