A predictor-corrector compact finite difference scheme for Burgers&apos;   equation

doi:10.1016/j.amc.2012.06.064

CORC > 北京大学 > 工学院

	A predictor-corrector compact finite difference scheme for Burgers' equation
	Zhang, Pei-Guang ; Wang, Jian-Ping
刊名	applied mathematics and computation
	2012
关键词	Burgers&apos Finite difference Predictor-corrector algorithm Compact derivatives approximation MacCormack method NUMERICAL-SOLUTION equation
DOI	10.1016/j.amc.2012.06.064
英文摘要	In this paper, a compact predictor-corrector finite difference scheme is proposed to solve the Burgers' equation. The scheme is based on compact derivatives approximation, by which we get the spatial approximations of first-order derivatives and second-order derivatives with fourth-order accuracy (both for inner nodes and boundary nodes). For the first time derivative item, a two-step predictor-corrector method called MacCormack method is used. Numerical experiments show the scheme is in good agreement with the exact solutions. (C) 2012 Elsevier Inc. All rights reserved.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; 3; 892-898; 219
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/229879]
专题	工学院
推荐引用方式 GB/T 7714	Zhang, Pei-Guang,Wang, Jian-Ping. A predictor-corrector compact finite difference scheme for Burgers' equation[J]. applied mathematics and computation,2012.
APA	Zhang, Pei-Guang,&Wang, Jian-Ping.(2012).A predictor-corrector compact finite difference scheme for Burgers' equation.applied mathematics and computation.
MLA	Zhang, Pei-Guang,et al."A predictor-corrector compact finite difference scheme for Burgers' equation".applied mathematics and computation (2012).