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One-Dimensional Diffusion on the Real Line: Theory and Experiment

Faculty Supervisor:
Don Lemons and John Graber
Year of Project Completion:
2010
Student:
Kyle M. Claassen

Abstract

This paper provides a mathematical treatment of the one-dimensional diffusion and advection-diffusion equations, taking the entire real line as the spatial domain. Moreover, a diffusion process is experimentally investigated, exploring the modeling capabilities of the diffusion and advection-diffusion initial value problems.

Related file

One-Dimensional_Diffusion_on_the_Real_Line.pdf

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As the first Mennonite college founded in North America, Bethel College celebrates a tradition of progressive Christian liberal arts education, diversity within community, and lifelong learning.