doi:10.1515/cmam-2017-0019engGracia Lozano, José LuisO'Riordan, EugeneStynes, MartinConvergence in positive time for a finite difference method applied to a fractional convection-diffusion equationART-2018-103775A 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.2018http://zaguan.unizar.es/record/7108810.1515/cmam-2017-0019http://zaguan.unizar.es/record/71088oai:zaguan.unizar.es:71088info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-RComputational Methods in Applied Mathematics 18 (2018), 33-42byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess