dc.contributor.author Ignat, L.I. dc.contributor.author Pozo, A. dc.date.accessioned 2017-06-07T13:41:07Z dc.date.available 2017-06-07T13:41:07Z dc.date.issued 2017-06-01 dc.identifier.issn 0764-583X dc.identifier.uri http://hdl.handle.net/20.500.11824/680 dc.description.abstract In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1-L^p$ decay rates. The asymptotic behavior of the solution is obtained by showing that the influence of the convolution term $K*u_{xx}$ is the same as $u_{xx}$ for large times. Then, we propose a semi-discrete numerical scheme that preserves this asymptotic behavior, by introducing two correcting factors in the discretization of the non-local term. Numerical experiments illustrating the accuracy of the results of the paper are also presented. en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject augmented Burgers equation en_US dc.subject numerical approximation en_US dc.subject large-time behavior en_US dc.title A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation en_US dc.type info:eu-repo/semantics/article en_US dc.relation.publisherversion https://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2017029 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/publishedVersion en_US dc.journal.title ESAIM: Mathematical Modelling and Numerical Analysis en_US
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