Numerical simulation and error analysis for a novel fractal–fractional reaction diffusion model with weighted reaction

Lihong Zhang, Keke Lu and Bashir Ahmad

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 230, issue C, 227-240

Abstract: A new fractal-fractional reaction diffusion model with weighted reaction is investigated in this paper. Using Chelyshkov polynomials, we construct the associated Chelyshkov operator matrix to solve this diffusion model. An error estimation is obtained for validation of our method. Numerical examples indicate that the proposed method is easy to apply and produce accurate results. It is imperative to mention that the fractal-fractional reaction diffusion model and the proposed numerical method offer an efficient approach to handle the issues related to the diffusion phenomenon.

Keywords: Fractal-fractional reaction diffusion model with weighted reaction; Operational matrix; Error estimation; Numerical examples (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:230:y:2025:i:c:p:227-240

DOI: 10.1016/j.matcom.2024.11.013

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