| Generalized Rosenau方程的一个两层守恒差分格式 |
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| 引用本文： | 王敏,李德生.Generalized Rosenau方程的一个两层守恒差分格式[J].平顶山学院学报,2012,27(2):27-30. |
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| 作者姓名： | 王敏 李德生 |
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| 作者单位： | 沈阳师范大学数学与系统科学学院,辽宁沈阳,110034 |
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| 摘 要： | 建立了generalized Rosenau方程的一个两层守恒差分格式.并给出了数值解的存在唯一性的证明,且在理论上证明了数值解的收敛性.
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| 关 键 词： | 有限差分格式 能量守恒性 存在性 收敛性 |
A Conservative Finite Difference Scheme for the Generalized Rosenau Equation |
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| WANG Min,LI De-sheng.A Conservative Finite Difference Scheme for the Generalized Rosenau Equation[J].Journal of Pingdingshan University,2012,27(2):27-30. |
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| Authors: | WANG Min LI De-sheng |
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| Institution: | (School of Mathematics and System Science,Shenyang Normal University,Shenyang,Liaoning 110034,China) |
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| Abstract: | In this paper,a finite difference scheme of the generalized Rosenau equation is proposed.The existence and uniqueness of numerical solution are proved as well as the convergence. |
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| Keywords: | finite difference scheme conservation solvability convergence |
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