کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4643597 | 1341395 | 2006 | 18 صفحه PDF | دانلود رایگان |

The long-time error estimation approach of Sun and Ewing (Dyn. Contin. Discrete Impuls. Systems Ser. B Appl. Algorithms, 9 (2002) 115–129) is applied here for the error analysis and estimation of linear and semi-linear parabolic partial differential equations. The analysis is carried out using the stability–smoothing indicator, the smoothing assumption, the moving attractor, the exact error propagation and the two-level error propagation analysis introduced by Sun and Ewing (Dyn. Contin. Discrete Impuls. Systems Ser. B Appl. Algorithms, 9 (2002) 115–129). Moreover, an inverse elliptic projection is employed here as a key technique in dealing with the spatial discretization error. The error estimates obtained are uniform in time. The results are substantiated by a complete mathematical analysis and numerical experiments.
Journal: Journal of Computational and Applied Mathematics - Volume 185, Issue 1, 1 January 2006, Pages 1–18