Singularly perturbed reaction–diffusion problems with discontinuities in the initial and/or the boundary data

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

Resumen: Numerical approximations to the solutions of three different problem classes of singularly perturbed parabolic reaction–diffusion problems, each with a discontinuity in the boundary-initial data, are generated. For each problem class, an analytical function associated with the discontinuity in the data, is identified. Parameter-uniform numerical approximations to the difference between the analytical function and the solution of the singularly perturbed problem are generated using piecewise-uniform Shishkin meshes. Numerical results are given to illustrate all the theoretical error bounds established in the paper.

Idioma: Inglés

DOI: 10.1016/j.cam.2019.112638

Año: 2020

Publicado en: Journal of Computational and Applied Mathematics 370 (2020), 112638 [28 pp.]
ISSN: 0377-0427

Factor impacto JCR: 2.621 (2020)

Categ. JCR: MATHEMATICS, APPLIED rank: 36 / 265 = 0.136 (2020) - Q1 - T1

Factor impacto SCIMAGO: 0.876 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R

Tipo y forma: Article (PostPrint)

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