ADI methods can be generalized to solve numerically multidimensional fractional diffusion equations, which describe fluid flows through porous media better than classical diffusion equations. A new, unconditionally stable, second-order and well balanced in space, third-order in time ADI scheme has been constructed and its convergence accelerated by an extrapolation technique coupled with the 'PageRank' algorithm.
Concezzi, M., Spigler, R. (2014). ADI methods for three dimensional fractional diffusions. In Recent Advances in Mathematics, Statistics and Economics, Proceedings of the 2014 International Conference on Pure Mathematics-Applied Mathematics (PM-AM '14) (pp.120-123). Copyright 2014 by the editors.
ADI methods for three dimensional fractional diffusions
SPIGLER, Renato
2014-01-01
Abstract
ADI methods can be generalized to solve numerically multidimensional fractional diffusion equations, which describe fluid flows through porous media better than classical diffusion equations. A new, unconditionally stable, second-order and well balanced in space, third-order in time ADI scheme has been constructed and its convergence accelerated by an extrapolation technique coupled with the 'PageRank' algorithm.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
