Mathematical analysis of non-isothermal reaction-diffusion models arising in spherical catalyst and spherical biocatalyst
Date
2021
Authors
Tripathi, Vivek Mani
Srivastava, H.M.
Singh, Harendra
Swarup, Chetan
Aggarwal, Sudhanshu
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Sciences
Abstract
The theory of dynamical systems and their widespread applications involve, for example,
the Lane–Emden-type equations which are known to arise in initial- and boundary-value problems
with singularity at the time t = 0. The main objective of this paper is to make use of some mathematical
analytic tools and techniques in order to numerically solve some reaction–diffusion equations,
which arise in spherical catalysts and spherical biocatalysts, by applying the Chebyshev spectral
collocation method. The proposed scheme has good accuracy. The results are demonstrated by means
of illustrative graphs and numerical tables. The accuracy of the proposed method is verified by a
comparison with the results which are derived by using analytical methods.
Description
Keywords
reaction-diffusion models, dynamical system involving the Lane-Emden-type equations, spherical catalyst, Lane-Emden problem, spherical biocatalyst, spectral collocation method, shifted chebyshev polynomials
Citation
Tripathi, V. M., Srivastava, H. M., Singh, H., Swarup, C., & Aggarwal, S. (2021). “Mathematical analysis of non-isothermal reaction-diffusion models arising in spherical catalyst and spherical biocatalyst.” Applied Sciences, 11(21), 10423. https://doi.org/10.3390/app112110423