| 抛物方程高精度高稳定显格式研究 |
| |
| 引用本文： | 袁权龙,詹再东.抛物方程高精度高稳定显格式研究[J].山西师范大学学报,2009,23(4):27-30. |
| |
| 作者姓名： | 袁权龙 詹再东 |
| |
| 作者单位： | 贵州大学理学院数学系,贵州贵阳550025 |
| |
| 摘 要： | 本文采用待定系数法导出了一类抛物型方程的高精度三层显式差分格式,它的截断误差为O（τ^2＋h^4）,并讨论了差分格式的稳定性条件为r∈（0,1/2].最后用数值例子验证了理论分析的正确性,这个结果优于Mann,Tim Lake稳定性条件r∈（0,1/3]的结果.
|
| 关 键 词： | 抛物型方程 三层显式差分格式 高精度 稳定性条件 |
High Accuracy and Stable Explicit Scheme for the Parabolic Equation |
| |
| YUAN Quan-long,ZHAN Zai-dong.High Accuracy and Stable Explicit Scheme for the Parabolic Equation[J].Journal of Shanxi Teachers University,2009,23(4):27-30. |
| |
| Authors: | YUAN Quan-long ZHAN Zai-dong |
| |
| Institution: | ( Deptemart of Mathematics, Science Faculty of Guizhou University, Guiyang 550025, Guizhou, China) |
| |
| Abstract: | In this paper,we produced a kind of high accuracy three-level explicit difference scheme for the parabolic equation used for an undetermined coefficient method. The truncation error of the scheme is O（τ^2＋h^4）, And the stable condition is r∈（0,1/2] to be discussed. We proved theoretical analysis by using a numerical example. The correction is superior than Mann and Tim Lake＇s stable condition r∈（0,1/3]. |
| |
| Keywords: | parabolic equation three-level explicit difference scheme high accuracy stable condition |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
