Modified Implicit–Explicit BDF Methods for Nonlinear Parabolic Equations |
| |
Authors: | Georgios Akrivis Fotini Karakatsani |
| |
Institution: | (1) Computer Science Department, University of Ioannina, Ioannina, GR-451 10, Greece;(2) Mathematics Department, University of Crete, Heraklion, Crete, GR-714 09, Greece |
| |
Abstract: | Implicit–explicit multistep methods for nonlinear parabolic equations were recently analyzed. If the implicit scheme is one of the backward differentiation formulae (BDF) of order up to six, then the corresponding implicit–explicit method of the same order is stable provided the stability constant is less than a specific scheme-dependent constant. Based on BDF, implicit methods are constructed such that the corresponding implicit–explicit scheme of the same order exhibits improved stability properties. |
| |
Keywords: | implicit– explicit multistep schemes nonlinear parabolic equations backward differentiation formulae |
本文献已被 SpringerLink 等数据库收录! |
|