| 径向对称非线性Schrdinger方程的守恒差分格式 |
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| 引用本文： | 张鲁明,常谦顺.径向对称非线性Schrdinger方程的守恒差分格式[J].计算物理,2000,17(3). |
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| 作者姓名： | 张鲁明 常谦顺 |
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| 作者单位： | 中科院应用数学研究所，北京 100080 |
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| 摘 要： | 对径向对称的非线性Schrdinger方程提出了一个新的守恒差分格式，这是一个三层格式，它不需迭代求解，因此提高了计算速度，同时也较好地保持了方程的两个守恒律。文中证明了格式的收敛性与稳定性，数值计算结果表明，该差分格式是有效的。
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| 关 键 词： | 径向对称 NLS方程 差分格式 守恒 收敛性 |
A CONSERVATIVE FINITE DIFFERENCE SCHEME FOR RADIAL SYMMETRIC NONLINEAR SCHRDINGER EQUATION |
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| ZHANG Lu-ming,CHANG Qian-shun.A CONSERVATIVE FINITE DIFFERENCE SCHEME FOR RADIAL SYMMETRIC NONLINEAR SCHRDINGER EQUATION[J].Chinese Journal of Computational Physics,2000,17(3). |
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| Authors: | ZHANG Lu-ming CHANG Qian-shun |
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| Abstract: | A new finite difference scheme is proposed for radial symmetric nonlinear Schrdinger equation. This is a scheme of three levels which needn't to iterate. Thus, the new scheme requires less CPU time. Convergence and stability of the new scheme are proved. By means of numerical computation, it is followed that the new scheme is efficient. |
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| Keywords: | radial symmetry NLS equation difference scheme conservation convergence |
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