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  1. 2019-Zhu, Linhe, Hongyong Zhao, and Haiyan Wang - Partial differential equation modeling of rumor propagation in complex networks with higher order of organization.

    out of 5 stars 

    04 Apr 2020 | Contributor(s):: Brian Winkel

    Zhu, Linhe, Hongyong Zhao, and Haiyan Wang. 2019. Partial differential equation modeling of rumor propagation in complex networks with higher order of organization.  Chaos: An Interdisciplinary Journal of Nonlinear Science....

  2. 9-020-S-HeatDiffusion

    out of 5 stars 

    14 Oct 2019 | | Contributor(s):: Kimberly Spayd, James Puckett

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  3. 9-005-S-InvasiveSpeciesModel

    out of 5 stars 

    08 Aug 2019 | | Contributor(s):: Eric Stachura

    This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...

  4. 2009-Wilson, R. Eddie - Differential Equation Models for Forecasting Highway Traffic Flow

    out of 5 stars 

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Wilson, R. Eddie. 2009. Differential Equation Models for Forecasting Highway Traffic Flow. Presentation at Conference on Traffic Modelling. The Open University, Milton Keynes, UK. 31 March. 32 slides.   This talk builds the mathematical model for traffic flow and addresses the issues of...

  5. 2001-Noymer, Andrew - The transmission and Persistence of "Urban Legends":  Sociological Application of Age-Structures Epidemic Models.

    out of 5 stars 

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Noymer, Andrew. 2001. The transmission and Persistence of “Urban Legends”:  Sociological Application of Age-Structures Epidemic Models. J Math Sociol. Jan 1; 25(3): 1–98. See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2846379/ . Accessed 10 September...

  6. 2017-Roux, Jean -Mathematical Models in Air Quality Problems - Notes

    out of 5 stars 

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Roux, Jean.  Mathematical Models in Air Quality Problems. Notes. 26 pages.Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.Keywords: differential equation, model, finite difference, chemical kinetics,...

  7. 2013-Rumbos, Adolfo - Mathematicd Modeling

    out of 5 stars 

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Rumbos, Adolfo. 2013. Mathematics Modeling. Draft Text. 95 pp.Chapter 3 deals with traffic flow models and does a terrific job in explaining the model building of the partial differential equation for traffic density at position x and time t. It then goes on to solve and interpret the...

  8. 2017-Emerson, Bruce - Wonderful World of Differential Equations

    out of 5 stars 

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Wonderful World of Differential Equations.  Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at...

  9. 2007-Steffensen, Mogen - Differential Equations in Finance and Life Insurance.

    out of 5 stars 

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Steffensen, Mogen. 2007. Differential Equations in Finance and Life Insurance. In: Jensen, B.S. and Palokangas, T. (2007) Stochastic Economic Dynamics. CBS press.From the opening of the paper,“The mathematics of finance and the mathematics of life insurance were always...

  10. 2012-Kerckhove, Michael - From Population Dynamics to Partial Differential Equations.

    out of 5 stars 

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Kerckhove, Michael.  2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 1-18.See https://content.wolfram.com/uploads/sites/19/2012/12/Kerckhove.pdf. Abstract: Differential equation models for population dynamics are now standard...

  11. 2013-Doboszczak, Stefan  and Virginia Forstall - Mathematical modeling by differential equations Case study: Traffic flow.

    out of 5 stars 

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Doboszczak, Stefan  and Virginia Forstall. 2013. Mathematical modeling by differential equations Case study: Traffic flow. PowerPoint Slides.  52 slides. University of Maryland.  See www.norbertwiener.umd.edu/Education/m3cdocs/Presentation2.pdf . Accessed 8 September...

  12. 2014-Enderling, Heiko and Mark Chaplain - Mathematical Modeling of Tumor Growth and Treatment.

    out of 5 stars 

    05 Sep 2017 | | Contributor(s):: Brian Winkel

    Enderling, Heiko and Mark Chaplain. 2014. Mathematical Modeling of Tumor Growth and Treatment. Current Pharmacological Design. 20(00): 1-7.See https://pubmed.ncbi.nlm.nih.gov/24283955/. Abstract: Using mathematical models to simulate dynamic biological processes has a long...

  13. 2017-Trinka, Jordan - Modeling Contaminant Flow in the Puget Sound - Senior Thesis

    out of 5 stars 

    01 Jun 2017 | | Contributor(s):: Jordan Christopher Trinka

    In this paper, we mathematically model contaminant flow in a two-dimensional domain of the Puget Sound using a finite element numerical solution to the advection-diffusion equation coupled with a finite difference numerical solution to the Navier-Stokes equations. We offer two models of...

  14. Shawn Ryan

    https://www.simiode.org/members/1879

  15. A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics

    13 Oct 2016 | Posted by Brian Winkel

    James Puckett and Kimberly Spayd have authored a wonderful article in the current issue of PRIMUS with full citation: Spayd, K. and J. Puckett. 2016. A Three-Fold Approach to the Heat Equation:...

    https://www.simiode.org/blog/2016/10/a-three-fold-approach-to-the-heat-equation-data-modeling-numerics

  16. 1981-Berresford, Geoffrey C. - Differential Equations and Root Cellars

    out of 5 stars 

    25 Jun 2015 | | Contributor(s):: Geoffrey C. Berresford

    Berresford, Geoffrey C. 1981. Differential Equations and Root Cellars.  UMAP Unit 554. 23 pp. 23 pp. Available from http://www.comap.com.This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat...

  17. 9-012-S-PDEGuitarTuning

    out of 5 stars 

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We present a derivation of  a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation. We immediately offer  numerical solutions in a computer algebra system (we use Mathematica, but any...