Author
Listed:
- HOSSEIN JAFARI
(Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran†Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa‡Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan)
- ROGHAYEH MOALLEM GANJI
(Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran)
- SONALI MANDAR NARSALE
(�Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India)
- MALUTI KGAROSE
(��Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa)
- VAN THINH NGUYEN
(�Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea)
Abstract
In this paper, we study time-fractional diffusion equations such as the time-fractional Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF–ADEs) in the Caputo sense. Here, we have developed the operational matrices (OMs) using the Hosoya polynomial (HP) as basis function for OMs to obtain solution of the TF–KEs and the TF–ADEs. The great benefit of this technique is converting the TF–KEs and the TF–ADEs to algebraic equations, which can be simply solved the problem under study. We provide error bound for the approximation of a bivariate function using the HP. Furthermore, comparison of the numerical results obtained using the proposed technique with the exact solution is done. The results prove that the proposed numerical method is most relevant for solving the TF–KEs and the TF–ADEs and accurate.
Suggested Citation
Hossein Jafari & Roghayeh Moallem Ganji & Sonali Mandar Narsale & Maluti Kgarose & Van Thinh Nguyen, 2023.
"Application Of Hosoya Polynomial To Solve A Class Of Time-Fractional Diffusion Equations,"
FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-12.
Handle:
RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400595
DOI: 10.1142/S0218348X23400595
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