Geodesic
Numerical simulation of the process of nonequilibrium counterflow capillary imbibition
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 125-132

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The convergence of the Galerkin method of solving the Cauchy–Dirichlet problem for the Barenbratt–Gilman equation is studied. On the basis of theoretical results, a numerical algorithm for this problem is developed. Results of a numerical experiment are presented. 
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     title = {Numerical simulation of the process of nonequilibrium counterflow capillary imbibition},
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E. A. Bogatyreva; N. A. Manakova. Numerical simulation of the process of nonequilibrium counterflow capillary imbibition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1, pp. 125-132. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a7/