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math.AP2025
An initial-boundary value problem describing moisture transport in porous media: existence of strong solutions and an error estimate for a finite volume scheme
Akiko Morimura, Toyohiko Aiki
We consider an initial-boundary value problem motivated by a mathematical model of moisture transport in porous media. We establish the existence of strong solutions and provide an…
math.AP2025
Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media
Akiko Morimura, Toyohiko Aiki
We consider the initial-boundary value problem for a nonlinear parabolic equation in the one-dimensional interval. This problem is motivated by a mathematical model for moisture tr…