The fundamental and numerical solutions of the Riesz space fractional reaction-dispersion equation
Chen, J ; Liu, Fawang ; Turner, Ian ; Anh, Vo
ANZIAM Journal, Tome 50 (2009), / Harvested from Australian Mathematical Society
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A Riesz space-fractional reaction–dispersion equation (RSFRDE) is obtained from the classical reaction–dispersion equation (RDE) by replacing the second-order space derivative with a Riesz derivative of order beta in (1,2]. In this paper, using Laplace and Fourier transforms, we obtain the fundamental solution for a RSFRDE. We propose an explicit finite-difference approximation for a RSFRDE in a bounded spatial domain, and analyse its stability and convergence. Some numerical examples are presented. doi:10.1017/S1446181108000333

Publié le : 2009-01-01
DOI : https://doi.org/10.21914/anziamj.v50i0.2345 
@article{2345,
     title = {The fundamental and numerical solutions of the Riesz space fractional reaction-dispersion equation},
     journal = {ANZIAM Journal},
     volume = {50},
     year = {2009},
     doi = {10.21914/anziamj.v50i0.2345},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/2345}
}

Chen, J; Liu, Fawang; Turner, Ian; Anh, Vo. The fundamental and numerical solutions of the Riesz space fractional reaction-dispersion equation. ANZIAM Journal, Tome 50 (2009) . doi : 10.21914/anziamj.v50i0.2345. http://gdmltest.u-ga.fr/item/2345/