Daniel Suescún-Díaz, Geraldyne Ule-Duque, D. Peña Lara, The Z-Transform with Reduction in the Fluctuations of the Calculation of Reactivity, Journal of Engineering and Applied Sciences, Volume 14,Issue 24, 2019, Pages 9651-9656, ISSN 1816-949x, jeasci.2019.9651.9656, (https://makhillpublications.co/view-article.php?doi=jeasci.2019.9651.9656) Abstract: In this study, we show a study to solve the point kinetic equations using the Z-transform. It is possible to decrease the fluctuations during the calculation of the reactivity in nuclear reactors starting from the inverse point kinetic equation and simulating noise with a Gaussian distribution around the average value of the neutron population density. For such cases, we use two filters simultaneously. The Finite Impulse Response (FIR) filter and the first-order delayed low-pass filter. We show that it is possible to reduce the fluctuations during the calculation of reactivity in order to achieve a more precise value compared to other methods that exist in the literature. Keywords: fluctuations;reactivity;FIR filter;first-order delayed low-pass filter;Inverse point-kinetic equation;simultaneously