[1]周晶晶,孔令华,黄红,等.具有坍塌势的4阶薛定谔方程的紧致守恒格式[J].江西师范大学学报(自然科学版),2013,(06):633-636.
　ZHOU Jing-jing,KONG Ling-hua,HUANG Hong,et al.Compact and Conserving Scheme of Fourth-Order Schr(o)dinger Equation with Collapse Potential Term[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(06):633-636.
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具有坍塌势的4阶薛定谔方程的紧致守恒格式()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年06期
页码:
633-636
栏目:
出版日期:
2013-12-31

文章信息/Info

Title:
Compact and Conserving Scheme of Fourth-Order Schr(o)dinger Equation with Collapse Potential Term
作者:
周晶晶;孔令华;黄红;黄晓梅
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
ZHOU Jing-jing；KONG Ling-hua；HUANG Hong；HUANG Xiao-mei
关键词:
薛定谔方程; 高阶紧致格式; 守恒律
Keywords:
fourth-order Schr(o)dinger equation; high order compact scheme; conservation law
分类号:
O241.8
文献标志码:
A
摘要:
利用紧致方法离散4阶薛定谔方程的空间导数,构造出具有坍塌势的4阶薛定谔方程的紧致守恒格式.理论分析表明该格式具有精度高、模版小的特点,且保持离散的电荷守恒律以及能量守恒律.最后通过数值实验验证理论分析的正确性.
Abstract:
The compact and conserving scheme is presented to solve fourth-order Schrödinger equation with collapse term by discretizing spatial direction with compact method.The scheme is not only with high accuracy,but also unconditionally stable.Moreover,it is proved that the scheme preserves discrete charge conservation law and energy conservation law.Detailed numerical results suggest that the scheme is efficient and consistent with our theoretical analysis.

参考文献/References:

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相似文献/References:

[1]童慧,孔令华,王兰.Dirac方程的紧致分裂多辛格式[J].江西师范大学学报(自然科学版),2014,(05):521.
　TONG Hui,KONG Ling-hua,WANG Lan.Compact Splitting Multisymplectic Scheme for Dirac Equation[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(06):521.

备注/Memo

备注/Memo:
国家自然科学基金(11301234,11271171)；江西省自然科学基金(20114BAB201011)；2010年江西师范大学青年成长基金
更新日期/Last Update: 1900-01-01