THERMAL SCIENCE

International Scientific Journal

Yu-Yang Qiu

NUMERICAL APPROACH TO THE TIME-FRACTIONAL REACTION-DIFFUSION EQUATION

ABSTRACT
The numerical solution to the time-fractional reaction-diffusion equation with boundary conditions is considered in this paper. By difference, the problem is transformed to solve a linear system whose coefficient matrices are Toeplitz-like, and the solution can be constructed directly. Numerical results are reported to show the feasibility of the proposed method.
KEYWORDS
numerical solution, time-fractional reaction-diffusion equation, the linear equations, Toeplitz-like
PAPER SUBMITTED: 2018-03-07
PAPER REVISED: 2018-11-25
PAPER ACCEPTED: 2018-11-25
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904245Q
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE No. 4, PAGES [2245 - 2251]
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Numerical approach to the time-fractional reaction-diffusion equation

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence