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Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations

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  • Yubin Yan

Abstract

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.

Suggested Citation

  • Yubin Yan, 2005. "Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:641378
    DOI: 10.1155/IJMMS.2005.523
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