Mathematical analysis of non-isothermal reaction-diffusion models arising in spherical catalyst and spherical biocatalyst

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dc.contributor.authorTripathi, Vivek Mani
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorSingh, Harendra
dc.contributor.authorSwarup, Chetan
dc.contributor.authorAggarwal, Sudhanshu
dc.date.accessioned2022-11-16T23:54:34Z
dc.date.available2022-11-16T23:54:34Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractThe 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationTripathi, 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/app112110423en_US
dc.identifier.urihttps://doi.org/10.3390/app112110423
dc.identifier.urihttp://hdl.handle.net/1828/14477
dc.language.isoenen_US
dc.publisherApplied Sciencesen_US
dc.subjectreaction-diffusion modelsen_US
dc.subjectdynamical system involving the Lane-Emden-type equationsen_US
dc.subjectspherical catalysten_US
dc.subjectLane-Emden problemen_US
dc.subjectspherical biocatalysten_US
dc.subjectspectral collocation methoden_US
dc.subjectshifted chebyshev polynomialsen_US
dc.titleMathematical analysis of non-isothermal reaction-diffusion models arising in spherical catalyst and spherical biocatalysten_US
dc.typeArticleen_US

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