This article is cited in 12 papers

Numerical simulation of the process of nonequilibrium counterflow capillary imbibition

E. A. Bogatyreva, N. A. Manakova

South Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia

Abstract: 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.

Key words: Barenbratt–Gilman equation, numerical simulation, Galerkin method, Sobolev-type equations.

UDC: 519.634

Received: 05.05.2015

DOI: 10.7868/S0044466916010087

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:1, 132–139

Bibliographic databases:

• 
• 
•