| Sine-Gordon方程初边值问题的能量守恒差分格式 |
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| 引用本文： | 张鲁明. Sine-Gordon方程初边值问题的能量守恒差分格式[J]. 中国石油大学学报(自然科学版), 1999, 0(2) |
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| 作者姓名： | 张鲁明 |
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| 作者单位： | 石油大学数学系,山东东营,257062 |
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| 摘 要： | 对于非线性ＳｉｎｅＧｏｒｄｏｎ方程的初边值问题提出了一种能量守恒差分格式，证明了该格式的收敛性和稳定性。数值计算结果表明，该方法不仅计算速度快，而且计算程序简单，计算精度高。
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| 关 键 词： | 能量守恒；差分格式；收敛性；稳定性 |
ENERGY CONSERVING DIFFERENCE SCHEME FOR INITIAL-BOUNDARY VALUE PROBLEM OF THE SINE-GORDON EQUATION |
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| Zhang Luming. ENERGY CONSERVING DIFFERENCE SCHEME FOR INITIAL-BOUNDARY VALUE PROBLEM OF THE SINE-GORDON EQUATION[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1999, 0(2) |
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| Authors: | Zhang Luming |
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| Affiliation: | Dongying: 257062 |
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| Abstract: | A scheme of energy conserving difference for initial boundary value problem in Sine Gordon equation is proposed. Its convergence and stability are proved. Numerical computational results show that the mothed has some advantages of high computational velocity, good precision and easy operation. |
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| Keywords: | energy conserving difference scheme convergence stability |
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