| 一类广义的高阶非线性Schr.dinger方程组的差分格式 |
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| 引用本文： | 曾文平. 一类广义的高阶非线性Schr.dinger方程组的差分格式[J]. 计算物理, 1995, 12(3): 421-425 |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学应用数学系, 福建泉州 362011 |
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| 摘 要： | 考虑一类广义的高阶非线性Schrodinger方程组,给出蛙跳格式及混合Crank-Nicolson蛙跳格式,并证明其稳定性与收敛性。最后,数值例子表明数值结果与理论分析相一致。
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| 关 键 词： | 广义高阶非线性Schr. dinger方程组 蛙跳格式 收敛性 |
| 收稿时间： | 1994-03-15 |
A FINITE DIFFERENCE SCHEMES FOR A CLASS OF SYSTEMOF GENERALIZED NONLINEAR SCHRODINGEREQUATION OF HIGH ORDER |
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| Zeng Wenping. A FINITE DIFFERENCE SCHEMES FOR A CLASS OF SYSTEMOF GENERALIZED NONLINEAR SCHRODINGEREQUATION OF HIGH ORDER[J]. Chinese Journal of Computational Physics, 1995, 12(3): 421-425 |
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| Authors: | Zeng Wenping |
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| Affiliation: | Department of Applied Mathematics, Huaqiao University, Quanzhou, 362011 |
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| Abstract: | The paper discusses a class of system of generalized nonlinear schr.dinger equation of high order. A leap-frog finite difference scheme and mixing crank-Nicolson and leap frog finite difference scheme are givent and convergence and stability are also proved. As an example, a given numerical result confoums to the analytically exact one. |
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| Keywords: | system of Generalized Nonlinear schr.dinger Equation of high order Leap-frog scheme convergence |
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