| 一类非线性Sine－Gordon方程的一个“蛙跳”有限差分格式 |
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| 引用本文： | 方樾,马小龙.一类非线性Sine－Gordon方程的一个“蛙跳”有限差分格式[J].广西民族大学学报,1996(2). |
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| 作者姓名： | 方樾 马小龙 |
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| 作者单位： | 新疆昌吉州职工大学 |
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| 摘 要： | 本文给出了一类非线性Ｓｉｎｅ－Ｇｏｒｄｏｎ方程的一个“蛙跳”有限差分格式．讨论了三对角循环线性系统的微分方程的可能性，进一步的，利用能量不等式的方法研究了差分格式的收敛性和稳定性，最后，给了一个数值解的例子
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| 关 键 词： | Sine－Gordon方程 蛙跳 有限差分 |
A Leap Frog Finite Difference Scheme for a Class of Nonlinear Sine-Gordon Equation |
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| Fang Yue,Ma Xiaolong.A Leap Frog Finite Difference Scheme for a Class of Nonlinear Sine-Gordon Equation[J].Journal of Guangxi University For Nationalities(Natural Science Edition),1996(2). |
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| Authors: | Fang Yue Ma Xiaolong |
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| Abstract: | An this paper,a teap frog finite difference scheme for a class of nonlinear Sine-Gorden equation are given.The solvability of the difference equation which is a tridiagonal circular linear system is discussed.Moreover,The convergence and stability of the difference scheme are studied by the energy inequalities method.Finally,numerical examples are given |
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| Keywords: | Sine-Gordon equation Leap frog Finite difference |
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