Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.apnum.2006.07.018
DC FieldValue
dc.titleNumerical solution of quenching problems using mesh-dependent variable temporal steps
dc.contributor.authorLiang, K.W.
dc.contributor.authorLin, P.
dc.contributor.authorTan, R.C.E.
dc.date.accessioned2014-10-28T02:39:49Z
dc.date.available2014-10-28T02:39:49Z
dc.date.issued2007-05
dc.identifier.citationLiang, K.W., Lin, P., Tan, R.C.E. (2007-05). Numerical solution of quenching problems using mesh-dependent variable temporal steps. Applied Numerical Mathematics 57 (5-7 SPEC. ISS.) : 791-800. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apnum.2006.07.018
dc.identifier.issn01689274
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103655
dc.description.abstractIn this paper, we introduce a new adaptive method for computing the numerical solutions of a class of quenching parabolic equations which exhibit a solution with one singularity. Our method systematically generates an irregular mesh with mesh-dependent temporal increments based on the solution behavior from which an implicit finite difference scheme associated with the irregular mesh is constructed. The convergence and stability of the finite difference scheme is analyzed for the solution before quenching. An equivalent linearized model is used to justify the stability of the method near quenching as well. A numerical example is provided to demonstrate the viability of the proposed method. © 2006 IMACS.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.apnum.2006.07.018
dc.sourceScopus
dc.subjectAdaptive method
dc.subjectImplicit finite difference scheme
dc.subjectIrregular grids
dc.subjectNonlinear reaction-diffusion equations
dc.subjectQuenching problems
dc.subjectSingularity
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.apnum.2006.07.018
dc.description.sourcetitleApplied Numerical Mathematics
dc.description.volume57
dc.description.issue5-7 SPEC. ISS.
dc.description.page791-800
dc.description.codenANMAE
dc.identifier.isiut000246595900026
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

17
checked on Oct 15, 2020

WEB OF SCIENCETM
Citations

16
checked on Oct 15, 2020

Page view(s)

87
checked on Oct 10, 2020

Google ScholarTM

Check

Altmetric


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