Abstract
A numerical method is proposed for solving a nonlinear weakly singular Volterra integral equation of the second kind which arises in the study of the mathematical model of internal-diffusion kinetics of adsorption of a substance from an aqueous solution of constant and bounded volume. The efficiency of the method is demonstrated using prototype examples and in application to inverse problems of adsorption kinetics.
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L. N. Bondarenko, I. P. Gavrilyuk, and P. F. Zhuk, Mathematical Model of Internal-Diffusion Kinetics of Adsorption of an Organic Substance from Aqueous Solutions of Bounded Volume [in Russian], Kiev (1984). Unpublished manuscript, UkrNIINTI, October 11, 1984, No. 1707Uk-D84.
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 30–38, 1987.
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Gavrilyuk, I.P., Zhuk, P.F. & Bondarenko, L.N. Numerical solution of the mathematical model of internal-diffusion kinetics of adsorption. J Math Sci 66, 2149–2155 (1993). https://doi.org/10.1007/BF01098598
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DOI: https://doi.org/10.1007/BF01098598