[1]单双荣.解高阶抛物型方程的三层显式差分格式[J].华侨大学学报(自然科学版),2005,26(3):239-242.[doi:10.3969/j.issn.1000-5013.2005.03.004]
　Shan Shuangrong.A Three-Layer Explicit Difference Scheme for Solving the Parabolic Equation of Higher Order[J].Journal of Huaqiao University(Natural Science),2005,26(3):239-242.[doi:10.3969/j.issn.1000-5013.2005.03.004]
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解高阶抛物型方程的三层显式差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第3期
页码:
239-242
栏目:
出版日期:
2005-07-20

文章信息/Info

Title:
A Three-Layer Explicit Difference Scheme for Solving the Parabolic Equation of Higher Order
文章编号:
1000-5013(2005)03-0239-04
作者:
单双荣
华侨大学数学系 福建泉州362021
Author(s):
Shan Shuangrong
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
高阶抛物型方程;  高精度;  显式差分格式
Keywords:
parabolic equation of higher order;  high accuracy;  explicit difference scheme
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2005.03.004
文献标志码:
A
摘要:
对高阶抛物型方程提出一个三层显式差分格式,其局部截断误差阶是O(τ2+h4).证明当m为1,2,3时,其稳定性条件为r=τ/h2m<1/22m-1.数值例子表明所提的格式是有效的,理论分析是正确的.
Abstract:
A three-layer explicit difference scheme is proposed for solving the parabolic equation of higher order [SX(] u[] t[SX)]=(-1) m+1 [SX(] 2m u[] t 2m [SX)] (where m is a positive integer). The local truncation error of the propesed scheme is in the order of O(τ 2+h 4) . Its stability condition is proved to be r=τ/h 2m <1/2 2m-1 when m =1,2,3. The proposed scheme is effective and relevant theoretical analysis is correct, as shown by numerical examples.

参考文献/References:

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备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(04QZR09)
更新日期/Last Update: 2014-03-23