An inverse problem related to the recovery of the initial and boundary conditions for the one-dimensional equation of convective diffusion that describes the process of the physicochemical method of stimulation of the oil bed is considered. A numerical method based on the use of the difference scheme whose differential approximation is a hyperbolic-type equation is suggested for solving the problem.
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Translated from Inzhenerno-Fizicheskii Zhurnal Vol. 84 No. 3 pp. 485–490 May–June 2011.
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Gamzaev, K.M. Difference method of solving an inverse problem for the convective diffusion equation. J Eng Phys Thermophy 84, 526–532 (2011). https://doi.org/10.1007/s10891-011-0500-1
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DOI: https://doi.org/10.1007/s10891-011-0500-1