Singularly perturbed initial-boundary value problem with a pulse in the initial condition

Gracia Lozano, José Luis (Universidad de Zaragoza) ; O'Riordan, E.

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/978-3-319-67202-1_7

Año: 2017

Publicado en: Lecture notes in computational science and engineering 120 (2017), 87-99
ISSN: 1439-7358

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

Tipo y forma: Article (PostPrint)

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