FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Time-fractional numerical modeling applied to diffusion-wave processes of bacterial biomass growth |
L.I. Moroz |
2022, issue 2, P. 207-212 DOI: https://doi.org/10.47910/FEMJ202227 |
Abstract |
| A time-fractional model of diffusion-wave processes is considered to describe the bacterial growth phenomenon. The 2D model is specified as an initial boundary value problem for a system of semilinear time-fractional partial differential equations. A computational scheme is based on a combination of a splitting finite difference method and an iterative procedure. Simulations are performed with the use of Matlab programming. Computational experiments allow one to examine the interactions of nutrient availability and biomass production under variation of dynamical modes of the biological system. |
Keywords: diffusion-wave equation, fractional derivative, splitting finite difference method, model of bacterial biomass growth |
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References |
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