Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions
dc.contributor.author | Zhao, Jennifer | en_US |
dc.contributor.author | Dai, Weizhong | en_US |
dc.contributor.author | Zhang, Suyang | en_US |
dc.date.accessioned | 2007-12-04T18:31:55Z | |
dc.date.available | 2009-01-07T20:01:16Z | en_US |
dc.date.issued | 2008-01 | en_US |
dc.identifier.citation | Zhao, Jennifer; Dai, Weizhong; Zhang, Suyang (2008). "Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions." Numerical Methods for Partial Differential Equations 24(1): 165-178. <http://hdl.handle.net/2027.42/57369> | en_US |
dc.identifier.issn | 0749-159X | en_US |
dc.identifier.issn | 1098-2426 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/57369 | |
dc.description.abstract | In this article, two sets of fourth-order compact finite difference schemes are constructed for solving heat-conducting problems of two or three dimensions, respectively. Both problems are with Neumann boundary conditions. These works are extensions of our earlier work (Zhao et al., Fourth order compact schemes of a heat conduction problem with Neumann boundary conditions, Numerical Methods Partial Differential Equations, to appear) for the one-dimensional case. The local one-dimensional method is employed to construct these two sets of schemes, which are proved to be globally solvable, unconditionally stable, and convergent. Numerical examples are also provided. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007 | en_US |
dc.format.extent | 159710 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.publisher | Wiley Subscription Services, Inc., A Wiley Company | en_US |
dc.subject.other | Mathematics and Statistics | en_US |
dc.title | Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, Michigan 48128 ; Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, Michigan 48128 | en_US |
dc.contributor.affiliationother | Program of Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana 71272 ; Program of Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, P.O. Box 3189, Ruston, Louisiana 71272 | en_US |
dc.contributor.affiliationother | Program of Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana 71272 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/57369/1/20255_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/num.20255 | en_US |
dc.identifier.source | Numerical Methods for Partial Differential Equations | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.