Smoothing properties in multistep backward difference method and time derivative approximation for linear parabolic equations
oleh: Yubin Yan
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2005-01-01 |
Deskripsi
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.