UM  > Faculty of Science and Technology  > DEPARTMENT OF MATHEMATICS
Affiliated with RCfalse
Status即將出版Forthcoming
Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations
Wang, Zhi1; Ge, Yongbin1; Sun, Hai Wei2; Sun, Tao3
2022-10-15
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume431
Abstract

Sixth-order quasi-compact difference (QCD) schemes are proposed for the two-dimensional (2D) and the three-dimensional (3D) Helmholtz equations with the variable parameter. Our approach provides the compact mesh stencil for the unknowns, while the noncompact mesh stencil is employed for the source term and the parameter function without involving their derivatives. For the proper interior grid points that are without adjoining the boundary, the sixth-order truncated errors are obtained by the QCD method. Yet the compact scheme is utilized for both of the source term and the parameter function on the improper interior grids that neighbor the boundary, which only reaches the fourth-order local truncated errors. Theoretically, the sixth-order accuracy of the global error by the proposed QCD method is strictly proved for the non-positive constant parameter. Numerical examples are given to demonstrate that the QCD method achieves the global sixth-order convergence for general variable parameters.

KeywordGlobal Sixth-order Accuracy Helmholtz Equation Quasi-compact Finite Difference Variable Parameter
DOI10.1016/j.amc.2022.127347
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000832954000016
Scopus ID2-s2.0-85132929232
Fulltext Access
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorSun, Hai Wei
Affiliation1.Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan, China
2.Department of Mathematics, University of Macau, Macao
3.School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Wang, Zhi,Ge, Yongbin,Sun, Hai Wei,et al. Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations[J]. Applied Mathematics and Computation,2022,431.
APA Wang, Zhi,Ge, Yongbin,Sun, Hai Wei,&Sun, Tao.(2022).Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations.Applied Mathematics and Computation,431.
MLA Wang, Zhi,et al."Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations".Applied Mathematics and Computation 431(2022).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Wang, Zhi]'s Articles
[Ge, Yongbin]'s Articles
[Sun, Hai Wei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Wang, Zhi]'s Articles
[Ge, Yongbin]'s Articles
[Sun, Hai Wei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Wang, Zhi]'s Articles
[Ge, Yongbin]'s Articles
[Sun, Hai Wei]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.