Página principal > Artículos > Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition
Resumen: A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The difference between this analytical function and the solution of the parabolic problem is approximated numerically. A coordinate transformation is used so that a layer-adapted mesh can be aligned to the interior layer present in the solution. Numerical analysis is presented for the associated numerical method, which establishes that the numerical method is a parameter-uniform numerical method. Numerical results are presented to illustrate the pointwise error bounds established in the paper. Idioma: Inglés DOI: 10.1016/j.apnum.2020.12.013 Año: 2021 Publicado en: APPLIED NUMERICAL MATHEMATICS 162 (2021), 106-123 ISSN: 0168-9274 Factor impacto JCR: 2.994 (2021) Categ. JCR: MATHEMATICS, APPLIED rank: 31 / 267 = 0.116 (2021) - Q1 - T1 Factor impacto CITESCORE: 3.7 - Mathematics (Q1)