Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631713 | Applied Mathematics and Computation | 2010 | 7 Pages |
Abstract
The paper deals with the convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument. The optimal convergence orders are obtained for the semidiscrete and full discrete (backward Euler) methods respectively. Both the discrete solutions are proved to be asymptotically stable under the condition that the analytical solution is asymptotically stable.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hui Liang, Dongyang Shi, Wanjin Lv,