Geodesic
Two-dimensional problems of two-phase filtration
Matematičeskoe modelirovanie, Tome 10 (1998) no. 2, pp. 48-70.

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A set of two-dimensional problems of two-phase filtration is considered with neglecting of convective dispersion. Some effective algorithms are created on the base of implicit first order consistency difference schemes. The original method of averaging over the difference meshes is supposed to compensate the partial explicitness of the schemes resulting from iteration procedure of its realization. 
@article{MM_1998_10_2_a4,
     author = {A. Kh. Pergament and S. B. Popov},
     title = {Two-dimensional problems of two-phase filtration},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {48--70},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_2_a4/}
}
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A. Kh. Pergament; S. B. Popov. Two-dimensional problems of two-phase filtration. Matematičeskoe modelirovanie, Tome 10 (1998) no. 2, pp. 48-70. http://geodesic.mathdoc.fr/item/MM_1998_10_2_a4/