A singularly perturbed convection–diffusion problem with a moving pulse

Gracia, J. L. (Universidad de Zaragoza) ; O'Riordan, E.

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.cam.2017.03.003

Año: 2017

Publicado en: Journal of Computational and Applied Mathematics 321 (2017), 371-388
ISSN: 0377-0427

Factor impacto JCR: 1.632 (2017)

Categ. JCR: MATHEMATICS, APPLIED rank: 49 / 252 = 0.194 (2017) - Q1 - T1

Factor impacto SCIMAGO: 0.938 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R

Tipo y forma: Article (PrePrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)