Journal article
Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays
Applied mathematics and computation, v 264, pp 160-178
01 Aug 2015
Abstract
This paper is concerned with the convergence and asymptotic stability of semidiscrete and full discrete schemes for linear parabolic equations with delay. These full discrete numerical processes include forward Euler, backward Euler and Crank–Nicolson schemes. The optimal convergence orders are consistent with those of the original parabolic equation. It is proved that the semidiscrete scheme, backward Euler and Crank–Nicolson full discrete schemes can unconditionally preserve the delay-independent asymptotic stability, but some additional restrictions on time and spatial stepsizes of the forward Euler full discrete scheme is needed to preserve the delay-independent asymptotic stability. Numerical experiments illustrate the theoretical results.
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Details
- Title
- Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays
- Creators
- Hui Liang - Heilongjiang University
- Publication Details
- Applied mathematics and computation, v 264, pp 160-178
- Publisher
- Elsevier
- Grant note
- JCL201303 / Heilongjiang University
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:000355553000012
- Scopus ID
- 2-s2.0-84929306340
- Other Identifier
- 991019320613004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied