This paper sets out to make a dynamic analysis of a single-effect, lithium bromide-water (LiBr/H2O) absorption chiller. A mathematical model has been developed based on conserving mass, energy, and species, which considers the correlations of the convective coefficients of absorption refrigeration processes so as to determine the overall heat transfer coefficients of the heat exchangers of chillers. The implementation of this mathematical model was built on the Matlab platform, and resolved the system of non-linear equations by making explicit use of the finite difference method. The model has the ability to simulate and predict the behavior of internal and external parameters such as temperature, concentrations and pressures when these are subjected to disruptions in the power supply and thermal load. The largest absolute differences found when validating the model by means of the experimental numerical values in the water circuits were approximately 1.0 degrees C, 0.7 degrees C and 0.2 degrees C for hot, chilled and cold water, respectively. In terms of relative error, these divergences represent a maximum of 5% and a minimum of 0.3%. The model showed good results when subjected to disturbances in the load and power source, as it reproduced the behavior of the temperature parameters and the Coefficient of Performance (COP), in line with the comparisons made with the data provided by the manufacturer, the COP being approximately 0.7 for operating conditions. (C) 2015 Elsevier Ltd. All rights reserved.