Convergence in positive time for a finite difference method applied to a fractional convection-diffusion equation

Gracia Lozano, José Luis (Universidad de Zaragoza) ; O'Riordan, Eugene ; Stynes, Martin

Resumen: A standard finite difference method on a uniform mesh is used to solve a time-fractional convection-diffusion initial-boundary value problem. Such problems typically exhibit a mild singularity at the initial time t=0. It is proved that the rate of convergence of the maximum nodal error on any subdomain that is bounded away from t=0 is higher than the rate obtained when the maximum nodal error is measured over the entire space-time domain. Numerical results are provided to illustrate the theoretical error bounds.

Idioma: Inglés

DOI: 10.1515/cmam-2017-0019

Año: 2018

Publicado en: Computational Methods in Applied Mathematics 18 (2018), 33-42
ISSN: 1609-4840

Factor impacto JCR: 1.218 (2018)

Categ. JCR: MATHEMATICS, APPLIED rank: 111 / 254 = 0.437 (2018) - Q2 - T2

Factor impacto SCIMAGO: 0.947 - Applied Mathematics (Q1) - Numerical Analysis (Q1) - Computational Mathematics (Q1)

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

Tipo y forma: Artículo (Versión definitiva)

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