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.
978-1-61804-225-5
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/184412
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