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A solution of the diffusion equation with nonlinear right-hand side

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The division of a rectangular pile of subsoil water between two channels with different water levels is considered. Evaporation is allowed for as a function of the depth of the subsoil stream. The problem reduces to solution of a nonlinear integral equation and is solved approximately by a method developed from the method of successive replacement of stationary states. A numerical example is given.

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Kochina, N.N. A solution of the diffusion equation with nonlinear right-hand side. J Appl Mech Tech Phys 10, 594–599 (1969). https://doi.org/10.1007/BF00916216

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  • DOI: https://doi.org/10.1007/BF00916216

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