| 对称正则长波方程的拟紧致守恒差分逼近 |
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| 引用本文： | 王廷春,张鲁明.对称正则长波方程的拟紧致守恒差分逼近[J].数学物理学报(A辑),2006,26(6):1039. |
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| 作者姓名： | 王廷春 张鲁明 |
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| 作者单位： | 南京航空航天大学航空宇航学院, 南京 210016 |
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| 基金项目： | 国家自然科学基金(10572057, 10471023)资助 |
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| 摘 要： | 该文对称正则长波方程的初边值问题进行了数值研究, 提出了一个两层隐式拟紧差分格式,格式很好地模拟了初值问题的守恒性质. 得到了差分解的存在唯一性, 并在先验估计基础上运用能量方法分析了格式的稳定性及二阶收敛性.
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| 关 键 词： | 对称正则长波方程 差分格式 守恒 收敛性 |
| 收稿时间： | 2005-12-12 |
| 修稿时间： | 2006-05-31 |
Pseudo-Compact Conservative Finite Difference Approximate Solution for the Symmetric Regularized-Long-Wave Equation |
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| Wang Tingchun,Zhang Luming.Pseudo-Compact Conservative Finite Difference Approximate Solution for the Symmetric Regularized-Long-Wave Equation[J].Acta Mathematica Scientia,2006,26(6):1039. |
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| Authors: | Wang Tingchun Zhang Luming |
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| Institution: | Nanjing University of Aeronautics and Astronautics, College of Aerospace Engineering, Nanjing 210016 |
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| Abstract: | In this paper, a pseudo-compact finite difference scheme is proposed for symmetric Regularized-Long-wave(SRLW) equation. Existence and uniquence of numerical solutions are shown. A priori estimate and second order convergence as well as conservation of energy of the finite difference approxmate solution are discussed. |
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| Keywords: | SRLW Equationzz Difference schemezz Conservationzz Convergencezz |
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