[1]曾文平.解双抛物型方程的两类恒稳差分格式[J].华侨大学学报(自然科学版),2004,25(1):14-17.[doi:10.3969/j.issn.1000-5013.2004.01.004]
　Zeng Wenping.Two Classes of Steady Difference Schemes for Solving Biparabolic Equation[J].Journal of Huaqiao University(Natural Science),2004,25(1):14-17.[doi:10.3969/j.issn.1000-5013.2004.01.004]
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解双抛物型方程的两类恒稳差分格式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第25卷
期数:
2004年第1期
页码:
14-17
栏目:
出版日期:
2004-01-20

文章信息/Info

Title:
Two Classes of Steady Difference Schemes for Solving Biparabolic Equation
文章编号:
1000-5013(2004)01-0014-04
作者:
曾文平
华侨大学数学系 福建泉州362011
Author(s):
Zeng Wenping
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
双抛物型方程;  绝对稳定;  隐式差分格式
Keywords:
biparabolic equation;  absolutely stable;  implicit difference scheme
分类号:
O175.26
DOI:
10.3969/j.issn.1000-5013.2004.01.004
文献标志码:
A
摘要:
提出解双抛物型方程的两类新的具三对角线型系数矩阵的三层隐式差分格式,其局部截断误差阶分别为O(τ2 +h2 +τh)及O(τ2 +h2 +(τh) 2 ) .它们都是绝对稳定的且可用追赶法求解 .数值例子表明这些格式是有效的,理论分析是正确的 .
Abstract:
For solving biparabolic equation, the author presents two new classes of three layered implicit difference schemes with tridigonal matrix of coefficients. Their local truncation errors are in the order of O(τ 2+h 2+τh) and O(τ 2+h 2+(τh) 2) respectively. They are all absolutely stable and can be solved by speedup method. These schemes are shown by numerical example to be effective.

参考文献/References:

[1] Saul’yev V K. Integration of Equation of parabolic type by the method of nets, translated by tee [M]. New York: G,.
[2] 刘发旺. 解高阶抛物型方程的群显方法 [J]. 数值计算与计算机应用, 1990(1):1-9.
[3] MILLER J J H. On the location of zeros of certain classes of polynomials with application to numerical analysis [J]. Journal of the Institute of Mathematics and Its Applications, 1971(8):397-406.
[4] Forsythe G E, Wasow W R. Finite-difference methods for partial differential equation [M]. New York:John Wiley & Sons, 1960.73-95.

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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(02QZR07)
更新日期/Last Update: 2014-03-23