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Numerical Solution of a Two-Dimensional Parabolic Transmission Problem
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@Article{IJNAM-7-156,
author = {Jovanovic , B. S. and Volkov , L. G.},
title = {Numerical Solution of a Two-Dimensional Parabolic Transmission Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {1},
pages = {156--172},
abstract = {
An initial boundary value problem for a two-dimensional parabolic equation in two disconnected rectangles is investigated. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate, compatible with the smoothness of the input data (up to a logarithmic factor of the mesh-size), is obtained.
}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/714.html} }
TY - JOUR
T1 - Numerical Solution of a Two-Dimensional Parabolic Transmission Problem
AU - Jovanovic , B. S.
AU - Volkov , L. G.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 156
EP - 172
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/714.html
KW - Transmission problem, initial-boundary value problem, disconnected domains, Sobolev spaces, finite differences, convergence rate.
AB -
An initial boundary value problem for a two-dimensional parabolic equation in two disconnected rectangles is investigated. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate, compatible with the smoothness of the input data (up to a logarithmic factor of the mesh-size), is obtained.
Jovanovic , B. S. and Volkov , L. G.. (2010). Numerical Solution of a Two-Dimensional Parabolic Transmission Problem.
International Journal of Numerical Analysis and Modeling. 7 (1).
156-172.
doi:
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