Mathematical Analysis of Non-Isothermal Reaction–Diffusion Models Arising in Spherical Catalyst and Spherical Biocatalyst

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...

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Bibliographic Details
Published in:Applied sciences 2021-11, Vol.11 (21), p.10423
Main Authors: Tripathi, Vivek Mani, Srivastava, Hari Mohan, Singh, Harendra, Swarup, Chetan, Aggarwal, Sudhanshu
Format: Article
Language:English
Subjects:
Analytical methods
Approximation
Biocatalysts
Boundary conditions
Boundary value problems
Catalysts
Chebyshev approximation
Collocation methods
dynamical system involving the Lane–Emden-type equations
Lane–Emden problem
Mathematical models
Polynomials
Reaction-diffusion equations
reaction–diffusion models
spectral collocation method
spherical biocatalyst
spherical catalyst
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Summary: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.
ISSN:2076-3417
2076-3417
DOI:10.3390/app112110423