Anomalous Diffusion with Caputo-Fabrizio Time Derivative: an Inverse Problem
AUTOR(ES)
SEMINARA, S. A.; TROPAREVSKY, M. I.; FABIO, M. A.; MURA, G. LA
FONTE
Trends in Computational and Applied Mathematics
DATA DE PUBLICAÇÃO
2022
RESUMO
ABSTRACT In this work we identify the source in a 1D anomalous diffusion equation, from measurements of the concentration at a finite number of points. We use Caputo-Fabrizio time fractional derivative to model the phenomenon. Separating variables, we arrive to a linear system which provides approximate values for the Fourier coefficients of the unknown source. Numerical examples show the efficiency of the method, as well as some of its practical limitations.
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