摘要
以Taylor展开为基本工具,研究了非齐次多维Schrdinger方程的交替方向隐格式.此格式在时空方向均具有2阶精度,而且所需求解的代数方程组的阶数与1维问题一样,具有经济、实用、易于模块化编程实现等优点.数值实验主要检验了数值格式长时间的模拟能力、离散电荷随时间演化关系等.
Based on Taylor＇ s expansion, an alternative direction implicit scheme was proposed for multidimensional Schrodinger equation. The scheme is of second order both in time and space. Moreover, the scale of the algebraic equations resulting from the scheme is the same with a one-dimensional problem. It is economic, practical and can be coded modularly. Numerical experiments verify the long-term simulation of the developed scheme to original problem and the evolution of discrete charge against time.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2014年第2期167-170,175,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11211171,11301234)
江西省自然科学基金(20114BAB201011)
江西省教育厅基金(GJJ12174)资助项目
