https://doi.org/10.1140/epjp/s13360-023-03765-0
Regular Article
Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media
Department of Mathematics, National Institute of Technology, 136119, Kurukshetra, India
Received:
14
December
2022
Accepted:
1
February
2023
Published online:
30
March
2023
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 and
error and comparing it with the existing techniques.
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© 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.