Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations
A smoothing property in multistep backward difference method for a linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse. By using the solutions computed by a multistep backward difference method for the parabolic problem...
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.523 |
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doaj-3f02aab0e1474e7f8a89661d75e427242020-11-24T22:48:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005452353610.1155/IJMMS.2005.523Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equationsYubin Yan0Department of Mathematics, The University of Manchester, Manchester M13 9PL, UKA smoothing property in multistep backward difference method for a linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse. By using the solutions computed by a multistep backward difference method for the parabolic problem, we introduce an approximation scheme for time derivative. The nonsmooth data error estimate for the approximation of time derivative has been obtained.http://dx.doi.org/10.1155/IJMMS.2005.523 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yubin Yan |
spellingShingle |
Yubin Yan Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations International Journal of Mathematics and Mathematical Sciences |
author_facet |
Yubin Yan |
author_sort |
Yubin Yan |
title |
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
title_short |
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
title_full |
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
title_fullStr |
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
title_full_unstemmed |
Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
title_sort |
smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
2005-01-01 |
description |
A smoothing property in multistep backward difference method for a
linear parabolic problem in Hilbert space has been proved, where the operator is selfadjoint, positive definite with compact inverse. By using the solutions computed by a multistep backward difference method for the parabolic problem, we introduce an
approximation scheme for time derivative. The nonsmooth data error estimate for the approximation of time derivative has been obtained. |
url |
http://dx.doi.org/10.1155/IJMMS.2005.523 |
work_keys_str_mv |
AT yubinyan smoothingpropertiesinmultistepbackwarddifferencemethodandtimederivativeapproximationforlinearparabolicequations |
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1725678302853595136 |