75685 20181107105319.0 doi 10.1007/978-3-319-67202-1_7 sideral 103770 ART-2017-103770 eng (orcid)0000-0003-2538-9027 Gracia Lozano, José Luis Universidad de Zaragoza Singularly perturbed initial-boundary value problem with a pulse in the initial condition 2017 Access copy available to the general public Unrestricted A singularly perturbed parabolic equation of reaction-diffusion type is examined. Initially the solution approximates a concentrated source, which causes an interior layer to form within the solution for all future times. Combining a classical finite difference operator with a layer-adapted mesh, parameter-uniform convergence is established. Numerical results are presented to illustrate the theoretical error bounds. info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion O'Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 120 (2017), 87-99 Lect. notes comput. sci. eng. Lecture notes in computational science and engineering 1439-7358 413460 http://zaguan.unizar.es/record/75685/files/texto_completo.pdf Postprint 51450 http://zaguan.unizar.es/record/75685/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:75685 articulos driver 2018-11-07-08:43:24 ARTICLE