TY - JOUR
T1 - On the Convergence of Difference Scheme for Parabolic Problems with Concentrated Data
AU - Jovanović , B. S.
AU - Vulkov , L. G.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 386
EP - 406
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/818.html
KW - concentrated capacity, Sobolev spaces, generalized solution, difference scheme, rate of convergence.
AB - <p style="text-align: justify;">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.</p>