[1]崔晓鹏,单双荣.解四阶抛物型方程的两层高精度差分格式[J].华侨大学学报(自然科学版),2011,32(6):710-713.[doi:10.11830/ISSN.1000-5013.2011.06.0710]
　CUI Xiao-peng,SHAN Shuang-rong.High-Accurate and Two-Layer Difference Schemes for Solving Four-Order Parabolic Equation[J].Journal of Huaqiao University(Natural Science),2011,32(6):710-713.[doi:10.11830/ISSN.1000-5013.2011.06.0710]
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解四阶抛物型方程的两层高精度差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第32卷
期数:
2011年第6期
页码:
710-713
栏目:
出版日期:
2011-11-20

文章信息/Info

Title:
High-Accurate and Two-Layer Difference Schemes for Solving Four-Order Parabolic Equation
文章编号:
1000-5013(2011)06-0710-04
作者:
崔晓鹏; 单双荣
华侨大学数学科学学院
Author(s):
CUI Xiao-peng;  SHAN Shuang-rong
School of Mathematics, Huaqiao University, Quanzhou 362021, China
关键词:
四阶抛物型方程;  差分格式;  高精度;  截断误差;  稳定性
Keywords:
four-order parabolic equation;  difference scheme;  high accuracy;  truncation error;  stability
分类号:
O241.82
DOI:
10.11830/ISSN.1000-5013.2011.06.0710
文献标志码:
A
摘要:
对任意常数a>0的四阶抛物型方程,构造含参数的高精度两层差分格式.当参数满足一定的条件时,局部截断误差阶最高可达到O(τ2+h6),并且是绝对稳定的.特殊情况下,则为一个条件稳定的两层显格式.数值例子表明,稳定性分析是正确的.
Abstract:
A family of high-accurate and two-layer difference schemes with parameters are constructed for solving four-order parabolic equation with arbitrary constant coefficient a>0.The local truncation error can reach the order of O(τ2+h6) as the maximum when the parameters satisfy a certain condition and these difference schemes are absolutely stable.In special case,one-layer conditionally stable difference scheme is obtained.The analysis of stability is correct,as illustrated by numerical example.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(青年科学基金)资助项目(11001090)
更新日期/Last Update: 2014-03-23