61282 20190709135501.0 doi 10.1016/j.cam.2017.03.003 sideral 98509 ART-2017-98509 eng (orcid)0000-0003-2538-9027 Gracia, J. L. Universidad de Zaragoza A singularly perturbed convection–diffusion problem with a moving pulse 2017 Access copy available to the general public Unrestricted A singularly perturbed parabolic equation of convection–diffusion type is examined. Initially the solution approximates a concentrated source. This causes an interior layer to form within the domain for all future times. Using a suitable transformation, a layer adapted mesh is constructed to track the movement of the centre of the interior layer. A parameter-uniform numerical method is then defined, by combining the backward Euler method and a simple upwinded finite difference operator with this layer-adapted mesh. Numerical results are presented to illustrate the theoretical error bounds established. info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.632 2017 MATHEMATICS, APPLIED 49 / 252 = 0.194 2017 Q1 T1 0.938 2017 Computational Mathematics 2017 Q2 Applied Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion O'Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 321 (2017), 371-388 J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 468806 http://zaguan.unizar.es/record/61282/files/texto_completo.pdf Preprint 66594 http://zaguan.unizar.es/record/61282/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:61282 articulos driver 2019-07-09-11:46:30 ARTICLE