Sensitivity analysis of physiochemical interaction model: which pair of parameters is sensitive?

Abstract

The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a deterministic system of first order ordinary differential equations. In this paper, we considered a sensitivity analysis of studying the qualitative behaviour of a variation of two model parameters at a time on the solution trajectory of physiochemical interaction over a time interval. Our aim is to use this powerful mathematical technique to select the important pair of parameters of this physical process which is cost-effective.

Keywords: Passivation Rate, Sensitivity Analysis, ODE23, ODE45