A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations

doi:10.1137/S0036142999361505

科研成果详情

发表状态	已发表Published
题名	A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations
作者	Ma, Heping 1; Sun, Weiwei2
发表日期	2001
发表期刊	SIAM Journal on Numerical Analysis
ISSN/eISSN	0036-1429
卷号	38 期号:5 页码:1425-1438
摘要	A Legendre-Petrov-Galerkin (LPG) method for the third-order differential equation is developed. By choosing appropriate base functions, the method can be implemented efficiently. Also, this new approach enables us to derive an optimal rate of convergence in L2-norm. The method is applied to some nonlinear problems such as the Korteweg-de Vries (KdV) equation with the Chebyshev collocation treatment for the nonlinear term. It is a Legendre-Petrov-Galerkin and Chebyshev collocation (LPG-CC) method. Numerical experiments are given to confirm the theoretical result.
关键词	Korteweg-de Vries equation Legendre-Petrov-Galerkin and Chebyshev collocation Third-order differential equation
DOI	10.1137/S0036142999361505
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000166214900002
引用统计	被引频次：80[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/3298
专题	个人在本单位外知识产出
通讯作者	Ma, Heping
作者单位	1.Department of Mathematics, Shanghai University, Shanghai 200436, China 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
推荐引用方式 GB/T 7714	Ma, Heping,Sun, Weiwei. A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations[J]. SIAM Journal on Numerical Analysis, 2001, 38(5): 1425-1438.
APA	Ma, Heping, & Sun, Weiwei. (2001). A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations. SIAM Journal on Numerical Analysis, 38(5), 1425-1438.
MLA	Ma, Heping,et al."A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations". SIAM Journal on Numerical Analysis 38.5(2001): 1425-1438.