Sensitivity and uncertainty analysis of the Time-Fractional Telegrapher's Equation for neutron motion

In this paper the sensitivity and uncertainty analysis of the anomalous diffusion exponent (ADE) in the Time-Fractional Telegrapher's Equation P1-approximation (TFTE) for the motion neutron, is presented. This analysis was carried out through implementation of the Monte Carlo simulations in the numerical solution of TFTE, where the samples of random numbers for simulation of sizes up to 65,000 were considered for the simulations. The sensitivity was evaluated in terms of 99% confidence intervals of the mean to understand the range of mean values that may represent the entire statistical population of performance variables. The uncertainties were propagated as follows: for 10% change in the ADE, the responses for flux scalar changed by 39.36% (most greater variation) for highly scattering medium, and the least variation of only about 0.49% was found for purely absorbing medium.

► Time-Fractional Telegrapher's Equation for neutron motion is numerically studied.
► The sensitivity and uncertainties was carried out for the fractional coefficient.
► This analysis was carried out through Monte Carlo simulations of sizes up to 65 000.
► Uncertainties was propagated for 10% change in the fractional coefficient.
► Least variation found for neutron flux was of 0.49% for purely absorbing medium.