Show simple item record

Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions

dc.contributor.authorZhao, Jenniferen_US
dc.contributor.authorDai, Weizhongen_US
dc.contributor.authorZhang, Suyangen_US
dc.date.accessioned2007-12-04T18:31:55Z
dc.date.available2009-01-07T20:01:16Zen_US
dc.date.issued2008-01en_US
dc.identifier.citationZhao, 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.issn0749-159Xen_US
dc.identifier.issn1098-2426en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/57369
dc.description.abstractIn 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, 2007en_US
dc.format.extent159710 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherWiley Subscription Services, Inc., A Wiley Companyen_US
dc.subject.otherMathematics and Statisticsen_US
dc.titleFourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditionsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, Michigan 48128 ; Department of Mathematics and Statistics, University of Michigan-Dearborn, Dearborn, Michigan 48128en_US
dc.contributor.affiliationotherProgram 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 71272en_US
dc.contributor.affiliationotherProgram of Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana 71272en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/57369/1/20255_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/num.20255en_US
dc.identifier.sourceNumerical Methods for Partial Differential Equationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

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.