[1]金相华,曾文平.解四阶抛物型方程的若干新的差分格式[J].华侨大学学报(自然科学版),2006,27(3):238-240.[doi:10.3969/j.issn.1000-5013.2006.03.004]
 Jin Xianghua,Zeng Wenping.Several New Difference Schemes for Solving Fourth Order Parabolic Equation[J].Journal of Huaqiao University(Natural Science),2006,27(3):238-240.[doi:10.3969/j.issn.1000-5013.2006.03.004]
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解四阶抛物型方程的若干新的差分格式()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第3期
页码:
238-240
栏目:
出版日期:
2006-07-20

文章信息/Info

Title:
Several New Difference Schemes for Solving Fourth Order Parabolic Equation
文章编号:
1000-5013(2006)03-0238-03
作者:
金相华曾文平
华侨大学数学系; 华侨大学数学系 福建泉州362021; 福建泉州362021
Author(s):
Jin Xianghua Zeng Wenping
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
四阶抛物型方程 耗散项 差分格式 稳定性
Keywords:
fourth order parabolic equation dissipative term difference scheme stability
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2006.03.004
文献标志码:
A
摘要:
利用加耗散项的方法,提出解四阶抛物型方程的若干新的差分格式,研究它们的局部截断误差阶及稳定性.数值例子表明,格式是有效的.
Abstract:
In this paper,several new difference schemes for solving fourth order parabolic equation are developed by using dissipative term,and their orders of the local trumcation error and stability are discussed.It is show that schemes are effective by numerical examples.

参考文献/References:

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[2] 林鹏程. 解四阶抛物型方程的绝对稳定高精度差分格式 [J]. 厦门大学学报(自然科学版), 1994(6):756-759.
[3] 曾文平. 高阶抛物型方程的具有高稳定性的显式与半显式差分格式 [J]. 应用数学学报, 1996(4):632-634.
[4] 曾文平. 解四阶抛物型方程的高精度恒稳定的隐式格式 [J]. 华侨大学学报(自然科学版), 1996(4):331-335.
[5] Mckee S. A generatization of the Du Fort-Franrkel scheme [J]. Journal of the Institute of Mathematics and Its Applications, 1972(1):76-82.

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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