Numerical methods for solving transport equations in fractal media

Authors
Kol'tsova, EM Vasilenko, VA Tarasov, VV
Citation
Em. Kol'Tsova et al., Numerical methods for solving transport equations in fractal media, RUSS J PH C, 74(5), 2000, pp. 848-850
Citations number
7
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY
ISSN journal
00360244 → ACNP
Volume
74
Issue
5
Year of publication
2000
Pages
848 - 850
Database
ISI
SICI code
0036-0244(200005)74:5<848:NMFSTE>2.0.ZU;2-P
Abstract
A numerical method for solving the mass-transport equations (one-dimensiona l and multidimensional in space coordinates) with fractional-order derivati ves for percolation clusters, fractals, and porous media is developed. The convergence of the solution obtained by a difference scheme to the solution of a diffusion equation with fractional-order derivatives is verified for a number of test problems.