Year: 2008
Author: B. S. Jovanovic, L. G. Vulkov
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 386–406
Abstract
Parabolic equations with unbounded coefficients and even generalized functions (in particular Dirac-delta functions) model large-scale of problems in the heat-mass transfer. This paper provides estimates for the convergence rate of difference scheme in discrete Sobolev like norms, compatible with the smoothness of the differential problems solutions, i.e. with the smoothness of the input data.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-818
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 386–406
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: concentrated capacity Sobolev spaces generalized solution difference scheme rate of convergence.