dc.contributor.author Kavallaris, Nikos I. * dc.contributor.author Yan, Yubin * dc.date.accessioned 2015-04-20T12:17:57Z dc.date.available 2015-04-20T12:17:57Z dc.date.issued 2015-10-02 dc.identifier.citation Kavallaris, N. I., & Yan, Y. (2015). A Time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding. Matematical Modelling of Natural Phenomena. 10(6), 90-112. DOI: en http://dx.doi.org/10.1051/mmnp/201510608 dc.identifier.issn 0973-5348 en dc.identifier.uri http://hdl.handle.net/10034/550359 dc.description This is the author's PDF version of an article published in Mathematical Modelling of Natural Phenomena© 2015. The definitive version is available at http://www.mmnp-journal.org/articles/mmnp/abs/2015/06/mmnp2015106p90/mmnp2015106p90.html en dc.description.abstract In the current work we construct a nonlocal mathematical model describing the phase transition occurs during the resistance spot welding process in the industry of metallurgy. We then consider a time discretization scheme for solving the resulting nonlocal moving boundary problem. The scheme consists of solving at each time step a linear elliptic partial differential equation and then making a correction to account for the nonlinearity. The stability and error estimates of the developed scheme are investigated. Finally some numerical results are presented confirming the efficiency of the developed numerical algorithm. dc.language.iso en en dc.publisher Cambridge University Press en dc.relation.url http://www.mmnp-journal.org en dc.subject Non-local en dc.subject error estimates en dc.subject degenerate parabolic equation en dc.subject moving boundary en dc.subject stability en dc.subject Chernoff formula en dc.subject resistance spot welding en dc.title A time discretization scheme for a nonlocal degenerate problem modelling resistance spot welding en dc.type Article en dc.identifier.eissn 17- dc.contributor.department University of Chester en dc.identifier.journal Mathematical Modelling of Natural Phenomena html.description.abstract In the current work we construct a nonlocal mathematical model describing the phase transition occurs during the resistance spot welding process in the industry of metallurgy. We then consider a time discretization scheme for solving the resulting nonlocal moving boundary problem. The scheme consists of solving at each time step a linear elliptic partial differential equation and then making a correction to account for the nonlinearity. The stability and error estimates of the developed scheme are investigated. Finally some numerical results are presented confirming the efficiency of the developed numerical algorithm. rioxxterms.publicationdate 2015-10-02
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