Stability of exact and discrete energy for non-Fickian reaction-diffusion equations with a variable delay
type: Item
instance of: scholarly article
title: Stability of exact and discrete energy for non-Fickian reaction-diffusion equations with a variable delay
zbMATH Open document ID: 1474.35621
DOI: 10.1155/2014/840573
author: Dongfang Li
author: Chao Tong
author: Jinming Wen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with the stability of non-Fickian reaction-diffusion equations with a variable delay. It is shown that the perturbation of the energy function of the continuous problems decays exponentially, which provides a more accurate and convenient way to express the rate of decay of energy. Then, we prove that the proposed numerical methods are sufficient to preserve energy stability of the continuous problems. We end the paper with some numerical experiments on a biological model to confirm the theoretical results.
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 7023178
Wikidata QID: Q59041956
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/840573
OpenAlex ID: W1978401269
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description: scientific article; zbMATH DE number 7023178