Determination of the ultimate solubility of hydrogen in hydride-forming metals and alloys plays an important role in ensuring the safety and reliability of structures made of these materials. Conducting a comprehensive study of this parameter makes it possible to develop more effective methods for monitoring the condition of materials and preventing damage caused by the action of hydrogen. In this regard, there is demand for mathematical models and algorithms that process experimental data for assessing the hydrogen permeability of structural materials. In this paper, we consider the boundary-value problem of the hydrogen permeability model, which, assuming quasi-stationary equilibrium, is reduced to a system of ordinary differential equations. An algorithm for localization of the input data of this system is also proposed, which makes it possible to find its solution and approximate the experimental graphs of hydrogen pressure.