A second order backward difference method with variable steps for a parabolic problem |
| |
Authors: | J. Becker |
| |
Affiliation: | (1) Department of Engineering, Physics and Mathematics, University of Karlstad, S-651 88 Karlstad, Sweden |
| |
Abstract: | The numerical solution of a parabolic problem is studied. The equation is discretized in time by means of a second order two step backward difference method with variable time step. A stability result is proved by the energy method under certain restrictions on the ratios of successive time steps. Error estimates are derived and applications are given to homogenous equations with initial data of low regularity. |
| |
Keywords: | 65M12 65L06 |
本文献已被 SpringerLink 等数据库收录! |
|