71088 20200113145616.0 doi 10.1515/cmam-2017-0019 sideral 103775 ART-2018-103775 eng (orcid)0000-0003-2538-9027 Gracia Lozano, José Luis Universidad de Zaragoza Convergence in positive time for a finite difference method applied to a fractional convection-diffusion equation 2018 Access copy available to the general public Unrestricted A standard finite difference method on a uniform mesh is used to solve a time-fractional convection-diffusion initial-boundary value problem. Such problems typically exhibit a mild singularity at the initial time t=0. It is proved that the rate of convergence of the maximum nodal error on any subdomain that is bounded away from t=0 is higher than the rate obtained when the maximum nodal error is measured over the entire space-time domain. Numerical results are provided to illustrate the theoretical error bounds. info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.218 2018 MATHEMATICS, APPLIED 111 / 254 = 0.437 2018 Q2 T2 0.947 2018 Applied Mathematics 2018 Q1 Numerical Analysis 2018 Q1 Computational Mathematics 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion O'Riordan, Eugene Stynes, Martin 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 18 (2018), 33-42 Comput. methods appl. math. Computational Methods in Applied Mathematics 1609-4840 901259 http://zaguan.unizar.es/record/71088/files/texto_completo.pdf Versión publicada 99154 http://zaguan.unizar.es/record/71088/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:71088 articulos driver 2020-01-13-14:53:31 ARTICLE