Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.apnum.2005.01.002
DC FieldValue
dc.titleSecond order Jacobi approximation with applications to fourth-order differential equations
dc.contributor.authorGuo, B.-Y.
dc.contributor.authorWang, Z.-Q.
dc.contributor.authorWan, Z.-S.
dc.contributor.authorChu, D.
dc.date.accessioned2014-10-28T02:51:42Z
dc.date.available2014-10-28T02:51:42Z
dc.date.issued2005-12
dc.identifier.citationGuo, B.-Y., Wang, Z.-Q., Wan, Z.-S., Chu, D. (2005-12). Second order Jacobi approximation with applications to fourth-order differential equations. Applied Numerical Mathematics 55 (4) : 480-502. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apnum.2005.01.002
dc.identifier.issn01689274
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104623
dc.description.abstractSecond order Jacobi approximation in non-uniformly weighted Sobolev space is investigated. Some approximation results on various orthogonal projections are established, which serve as the mathematical foundation of Jacobi spectral methods for differential equations of fourth order. Jacobi spectral schemes are provided for several model problems. The convergence is proved. Numerical results agree well with theoretical analysis and show the efficiency of this new approach. © 2005 IMACS. Published by Elsevier B.V. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.apnum.2005.01.002
dc.sourceScopus
dc.subjectConvergence
dc.subjectNumerical results
dc.subjectSecond order Jacobi approximation
dc.subjectSpectral method for fourth-order problems
dc.typeConference Paper
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.apnum.2005.01.002
dc.description.sourcetitleApplied Numerical Mathematics
dc.description.volume55
dc.description.issue4
dc.description.page480-502
dc.description.codenANMAE
dc.identifier.isiut000232989700008
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Google ScholarTM

Check

Altmetric


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