Expansion of the random boundary excitations for the fractional Laplacian

Details Expansion of the random boundary excitations for the fractional Laplacian Expansion of the random boundary excitations for the fractional Laplacian

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jcap...10..004s&link_type=abstract

Journal of Cosmology and Astroparticle Physics, Issue 10, pp. 004 (2008).

Physics

1

Scientific paper

A new stochastic fractal model based on a fractional Laplace equation is developed. Exact representations for the spectral and correlation functions under random boundary excitation are obtained. A randomized spectral expansion is constructed for simulation of the solution of the fractional Laplace equation. We present calculations for 2D and 3D spaces for a series of fractional parameters showing a strong memory effect: the decay of correlations is several order of magnitude less as compared to the conventional Laplace equation model.

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