9-010-S-TravelingWaves

By Eric Stachura

Mathematics, Kennesaw State University, Kennesaw GA USA

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Abstract

In this scenario, students will be taken through a traveling wave analysis of a porous medium model. While the starting point is a nonlinear partial differential equation (PDE) model, after a change of variables, students are led quickly to an ordinary differential equation (ODE) model. Students will find a power series solution of their ODE. It is expected that students will become familiar with a traveling wave approach to solving PDEs; in particular, they will see how to transform a PDE into an ODE which is easier to solve. At the end, students will think about how to generalize what they have done to other problems.

Cite this work

Researchers should cite this work as follows:

  • Eric Stachura (2019), "9-010-S-TravelingWaves," https://www.simiode.org/resources/6296.

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