In this work, the d3f software is used for numerically solving the PDEs describing the Elder problem. We adapted this software to the conditions of a Spark cluster to implement the mass parallel runs of d3f software and efficient further analysis of results using modern Big Data technologies. Having this powerful tool for numerical analysis of PDEs, we achieved the following scientific goals. 1. Investigate the steady-state solutions of the Elder problem with regards to different parameters. 2. Quantify the uncertainty of the investigation. 3. Develop predictive models for forecasting system’s steady states basing on early-time observations.