000061282 001__ 61282 000061282 005__ 20190709135501.0 000061282 0247_ $$2doi$$a10.1016/j.cam.2017.03.003 000061282 0248_ $$2sideral$$a98509 000061282 037__ $$aART-2017-98509 000061282 041__ $$aeng 000061282 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, J. L.$$uUniversidad de Zaragoza 000061282 245__ $$aA singularly perturbed convection–diffusion problem with a moving pulse 000061282 260__ $$c2017 000061282 5060_ $$aAccess copy available to the general public$$fUnrestricted 000061282 5203_ $$aA 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. 000061282 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R 000061282 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000061282 590__ $$a1.632$$b2017 000061282 591__ $$aMATHEMATICS, APPLIED$$b49 / 252 = 0.194$$c2017$$dQ1$$eT1 000061282 592__ $$a0.938$$b2017 000061282 593__ $$aComputational Mathematics$$c2017$$dQ2 000061282 593__ $$aApplied Mathematics$$c2017$$dQ2 000061282 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion 000061282 700__ $$aO'Riordan, E. 000061282 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000061282 773__ $$g321 (2017), 371-388$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427 000061282 8564_ $$s468806$$uhttps://zaguan.unizar.es/record/61282/files/texto_completo.pdf$$yPreprint 000061282 8564_ $$s66594$$uhttps://zaguan.unizar.es/record/61282/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint 000061282 909CO $$ooai:zaguan.unizar.es:61282$$particulos$$pdriver 000061282 951__ $$a2019-07-09-11:46:30 000061282 980__ $$aARTICLE