| 高阶抛物型方程的一族高精度恒稳差分格式 |
| |
| 引用本文： | 曾文平.高阶抛物型方程的一族高精度恒稳差分格式[J].计算数学,2003,25(3):347-354. |
| |
| 作者姓名： | 曾文平 |
| |
| 作者单位： | 华侨大学数学系,泉州,362011 |
| |
| 摘 要： | A family of three-layer implicit difference Schemes of high accuracy with two parameters for solving high order parabolic equationδu/δt=(-1)^m 1δ^2mu/δx^2m(where m is positive integers) are constructed. In the special case α=1/2, β=0, We obtain a two-layer difference scheme. These schemes are proved to be absolutely stable for arbiratily chosen non-negative parameters, And the order of the truncation error is O((△t)^2 (△x)^6). They are shown by numerical examples to be effective, and practice consistant with theoretical analysis.
|
| 关 键 词： | 抛物型方程 隐式差分格式 精度 周期初值问题 截断误差 稳定性 |
| 修稿时间： | 2001年9月3日 |
A FAMILY OF ABSOLUTELY STABLE DIFFERENCE SCHEMES OF HIGH ACCURACY FOR SOLVING HIGH ORDER PARABALIC EQUATION |
| |
| Zeng Wenping.A FAMILY OF ABSOLUTELY STABLE DIFFERENCE SCHEMES OF HIGH ACCURACY FOR SOLVING HIGH ORDER PARABALIC EQUATION[J].Mathematica Numerica Sinica,2003,25(3):347-354. |
| |
| Authors: | Zeng Wenping |
| |
| Institution: | Zeng Wenping (Dept. of Math. Huaqiao Univ, Quanzhou, 362011) |
| |
| Abstract: | |
| |
| Keywords: | high order parabolic equation absolutely stable high ac-curacy difference scheme |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
