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dc.contributor.author | Glazyrina O. | |
dc.contributor.author | Pavlova M. | |
dc.date.accessioned | 2018-09-18T20:03:23Z | |
dc.date.available | 2018-09-18T20:03:23Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 0012-2661 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/136103 | |
dc.description.abstract | © 2015, Pleiades Publishing, Ltd. We consider a parabolic equation whose spatial operator depends nonlinearly not only on the unknown function and its gradient but also on a nonlocal (integral) characteristic of the solution. By using the semidiscretization method with respect to the variable t and the finite element method in the space variables, we construct an approximate solution method in which the nonlocality is pulled down to the lower layer. We prove a theorem on the convergence of the constructed algorithm under minimal assumptions on the smoothness of the original data. | |
dc.relation.ispartofseries | Differential Equations | |
dc.title | Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 7 | |
dc.relation.ispartofseries-volume | 51 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 872 | |
dc.source.id | SCOPUS00122661-2015-51-7-SID84939193788 |