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Heisenberg链方程的显式差分解的收敛性
An Explicit Finite Difference Mathod for Ferro - Magnetic Chain Equation
【摘要】 本文研究了带有小扩散项ε的Heisenberg链的旋方程组的周期初值问题的显格式、有限差分解,利用有界延拓法证明了解的收敛性、稳定性,并给出了算法和数植例子。
【Abstract】 In this paper, the Ferro - Magnetic Chain Equation with periodic initial - valueproblem is considered. An explicit finite difference schame is proposed. Moreover, its convergence and stability are proced by bounded extension method. Finally, thd theontical result arecheekld by numerical examples.
【关键词】 Heisenherg链方程;
显式差分;
收敛性;
稳定性;
【Key words】 ferro - magnctic chain equotion; expliciteess; difference schame; convergence; stability.;
【Key words】 ferro - magnctic chain equotion; expliciteess; difference schame; convergence; stability.;
【基金】 国家自然科学基金
- 【文献出处】 韶关大学学报(自然科学版) ,JOURNAL OF SHAOGUAN UVIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1999年04期
- 【分类号】O241.82
- 【被引频次】1
- 【下载频次】28