| 广义Rosenau方程的一个三层守恒差分格式 |
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| 引用本文： | 李红娥.广义Rosenau方程的一个三层守恒差分格式[J].四川工业学院学报,2012(4):77-80. |
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| 作者姓名： | 李红娥 |
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| 作者单位： | 西华大学数学与计算机学院,四川成都610039 |
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| 基金项目： | 西华大学重点项目应用数学（XZD0910-09-1） |
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| 摘 要： | 对广义Rosenau方程的初边值问题进行了数值研究,提出了一个三层隐式差分格式,该格式合理地模拟了问题的守恒性质,得到了差分解的先验估计,利用能量方法分析了该格式的二阶收敛性与无条件稳定性,并利用数值算例进行了验证。
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| 关 键 词： | 广义Rosenau方程 差分格式 守恒 收敛性 稳定性 |
A Three-level Conservative Difference Scheme for Generalized Rosenau Equation |
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| LI Hong-e.A Three-level Conservative Difference Scheme for Generalized Rosenau Equation[J].Journal of Sichuan University of Science and Technology,2012(4):77-80. |
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| Authors: | LI Hong-e |
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| Affiliation: | LI Hong-e (School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039 China) |
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| Abstract: | The numerical solution to the problem of generalized Rosenau equation with initial-boundary value is considered. A fi- nite difference scheme of three levels is proposed. This scheme can be used to simulate the conservation properties of the problem well. It is proved that the finite difference scheme is convergent with order 2 and stable without condition by discrete functional analytical method. The numerical examples show this scheme is feasible. |
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| Keywords: | generalized rosenau equation difference scheme conservative convergence stability |
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