Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media

This work investigates the generalised time-fractional Cattaneo model. The homotopy perturbation transform technique is used to get the numerical solution of this model. The stability is analysed using the Lyapunov function, also the error analysis is discussed. Finally, the effectiveness of the pro...

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Detalles Bibliográficos
Autores principales: Mohan, Lalit, Prakash, Amit
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Regular Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10061423/
https://www.ncbi.nlm.nih.gov/pubmed/37013184
http://dx.doi.org/10.1140/epjp/s13360-023-03765-0
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author Mohan, Lalit
Prakash, Amit
author_facet Mohan, Lalit
Prakash, Amit
author_sort Mohan, Lalit
collection PubMed
description This work investigates the generalised time-fractional Cattaneo model. The homotopy perturbation transform technique is used to get the numerical solution of this model. The stability is analysed using the Lyapunov function, also the error analysis is discussed. Finally, the effectiveness of the proposed technique is illustrated by calculating the [Formula: see text] and [Formula: see text] error and comparing it with the existing techniques.
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spelling pubmed-100614232023-03-30 Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media Mohan, Lalit Prakash, Amit Eur Phys J Plus Regular Article This work investigates the generalised time-fractional Cattaneo model. The homotopy perturbation transform technique is used to get the numerical solution of this model. The stability is analysed using the Lyapunov function, also the error analysis is discussed. Finally, the effectiveness of the proposed technique is illustrated by calculating the [Formula: see text] and [Formula: see text] error and comparing it with the existing techniques. Springer Berlin Heidelberg 2023-03-30 2023 /pmc/articles/PMC10061423/ /pubmed/37013184 http://dx.doi.org/10.1140/epjp/s13360-023-03765-0 Text en © The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Regular Article
Mohan, Lalit
Prakash, Amit
Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title_full Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title_fullStr Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title_full_unstemmed Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title_short Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
title_sort stability and numerical analysis of the generalised time-fractional cattaneo model for heat conduction in porous media
topic Regular Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10061423/
https://www.ncbi.nlm.nih.gov/pubmed/37013184
http://dx.doi.org/10.1140/epjp/s13360-023-03765-0
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AT prakashamit stabilityandnumericalanalysisofthegeneralisedtimefractionalcattaneomodelforheatconductioninporousmedia

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