A binary Caputo–Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation

Mu, Xinyue; Yang, Jiansheng; Yao, Huanmin

doi:10.1007/s12190-023-01902-7

J. Appl. Math. Comput.

2023

DOI: 10.1007/s12190-023-01902-7

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A binary Caputo–Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation

Xinyue Mu

Jiansheng Yang

Huanmin Yao

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An efficient hybrid approach for numerical study of two-dimensional time-fractional Cattaneo model with Riesz distributed-order space-fractional operator along with stability analysis

Derakhshan,

Mortazavifar,

Veeresha

et al. 2024

Phys. Scr.

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In this article, we study and analyze the two-dimensional time-fractional Cattaneo model with Riesz space distributed-order. To obtain approximate solutions of this type of fractional model the combined and eﬀective numerical approach based on the ADI Galerkin method and the Legendre spectral method used the ADI Galerkin numerical method uses the ﬁnite diﬀerence approach. The ADI Galerkin numerical method is used to approximate the proposed model in terms of the time variable, and the Legendre spectral method is applied to discretize the fractional model with respect to the space variable. Also, the convergence analysis and stability of the proposed method are discussed and reviewed in this manuscript. In the end, some numerical examples are tested for the eﬀectiveness and accuracy of the proposed method.

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An efficient hybrid approach for numerical study of two-dimensional time-fractional Cattaneo model with Riesz distributed-order space-fractional operator along with stability analysis

Derakhshan,

Mortazavifar,

Veeresha

et al. 2024

Phys. Scr.

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show abstract

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A binary Caputo–Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation

Cited by 1 publication

References 33 publications

An efficient hybrid approach for numerical study of two-dimensional time-fractional Cattaneo model with Riesz distributed-order space-fractional operator along with stability analysis

An efficient hybrid approach for numerical study of two-dimensional time-fractional Cattaneo model with Riesz distributed-order space-fractional operator along with stability analysis

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