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
Descripción
Sumario: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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