Finite-difference solution of a nonlinear initial-boundary-value problem for a nonlinear parabolic equation of second order |
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Authors: | I. P. Gavrilyuk P. F. Zhuk L. N. Bondarenko |
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Affiliation: | (1) Kherson Teachers' College, Kiev University, USSR |
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Abstract: | An implicit finite-difference scheme is constructed for solving a nonlinear initial-boundary-value problem for a nonlinear homogeneous parabolic equation of second order with a nonlinear boundary condition that contains the time derivative of the sought function. The results are used for numerical solution of the mathematical model of internal-diffusion kinetics of adsorption from a constant bounded volume.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 65, pp. 34–46, 1988. |
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