Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source

Autor:	José Luis Gracia, L.P. Shishkina, C. Clavero, Grigorii I. Shishkin
Rok vydání:	2012
Předmět:	Physics Convection Computational Mathematics Numerical Analysis Applied Mathematics Mathematical analysis Parabolic problem Term (time)
Zdroj:	Computational Methods in Applied Mathematics. 12:139-152
ISSN:	1609-9389 1609-4840
DOI:	10.2478/cmam-2012-0014
Popis:	A finite difference scheme on special piecewise-uniform grids condensing in the interior layer is constructed for a singularly perturbed parabolic convection-diffusion equation with a discontinuous right-hand side and a multiple degenerating convective term (the convective flux is directed into the domain). When constructing the scheme, monotone grid approximations, similar to those developed and justified earlier by authors for a problem with a simple degenerating convective term, are used. Using the known technique of numerical experiments on embedded meshes, it is numerically verified that the constructed scheme converges ε-uniformly in the maximum norm at the convergence rate close to one.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1b8341dc2b3f73537fea8108e9d4c371 https://doi.org/10.2478/cmam-2012-0014 Zobrazit plný text záznamu