摘要
把ENO插值和MMOCAA“(The modified method of characteristics with adjusted advection,Jim Douglas,Jr.,Numer.Math.(1999),Vol.83:353-369)”差分方法相结合,提出了求解对流扩散方程的ENO-MMOCAA差分方法,避免了原来基于高阶Langrange插值的MMOCAA差分方法在解的陡峭前缘附近产生的震荡。本文给出了格式的误差估计及数值算例。
Combing the MMOCAA '(The modified method of characteristics with adjusted advection, Jim Douglas. Jr., Numer. Math. (1999), Vol. 83: 353-369)' difference method with ENO, the ENO-MMOCAA difference method is proposed for covection-diffusion equation in the paper. The new method is free from oscillation near the steep front, with which the problem is solved by the MMOCAA difference method based on high-order Lagrange interplation. The error estimates of the scheme and numerical example are given.
出处
《工程数学学报》
CSCD
北大核心
2004年第3期377-381,共5页
Chinese Journal of Engineering Mathematics
基金
南开大学
天津大学刘徽应用数学中心资助
