| 广义对称正则长波方程的一个拟紧致守恒差分格式 |
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| 引用本文： | 胡劲松,王玉兰. 广义对称正则长波方程的一个拟紧致守恒差分格式[J]. 云南大学学报(自然科学版), 2010, 32(4): 373-377 |
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| 作者姓名： | 胡劲松 王玉兰 |
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| 作者单位： | 西华大学数学与计算机学院; |
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| 基金项目： | 国家自然科学基金资助项目(40701014); 西华大学重点学科-应用数学资助项目(XZD0910-09-1) |
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| 摘 要： | 对一类广义对称正则长波(GSRLW)方程的初边值问题进行了数值研究,提出了一个两层拟紧致差分格式,格式模拟了初边值问题的守恒性质,并利用离散泛函分析方法分析了该格式的二阶收敛性与稳定性.数值结果表明,该格式的精度明显好于一般的二阶格式.
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| 关 键 词： | 广义对称正则长波方程 差分格式 守恒 收敛性 稳定性 |
A pseudo-compact conservation difference scheme for generalized symmetrical regularized long wave equation |
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| HU Jin-song,WANG Yu-lan. A pseudo-compact conservation difference scheme for generalized symmetrical regularized long wave equation[J]. Journal of Yunnan University(Natural Sciences), 2010, 32(4): 373-377 |
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| Authors: | HU Jin-song WANG Yu-lan |
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| Affiliation: | HU Jin-song,WANG Yu-lan (School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,China) |
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| Abstract: | The numerical solution for an initial-boundary value problem of generalized symmetrical regularized long wave equation (GSRLW) is considered.A pseudo-compact finite difference scheme of two levels is proposed.This scheme simulates the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with order 2 and stable by discrete functional analysis method.The numerical examples show that the accuracy of this scheme is better than usual difference scheme of two le... |
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| Keywords: | generalized symmetrical regularized long wave equation finite difference scheme conservation convergence stability |
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