Using the Error Function to Aid Analysis of Transport Processes in Finite Geometries.
DOI:
https://doi.org/10.18260/2-1-370.660-134569Abstract
Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries. The appropriate solutions to the Diffusion Equation for semi-infinite geometries are developed using innovative protocols.These results can serve as detailed lecture notes.