
9030SWaterHammer
31 Aug 2021   Contributor(s):: Panagiotis D. Scarlatos
The students will develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs). The equations involved are nonlinear and of hyperbolic type. The problem to be solved is an initialboundary value problem that describes the time evolution of...

6075SLorenzSystemSimulation
27 Aug 2021   Contributor(s):: Vladimir Riabov
The Lorenz system will be examined by students as a simple model of chaotic behavior (also known as strange attractor). MATLAB code has been created to find the numerical solutions of the Lorenz’ system of nonlinear ordinary differential equations using various parameters, as well as to...

4065SGasInjection
14 Aug 2021   Contributor(s):: Vladimir Riabov
Students will use computer programs (or create their own programming code) based on exponential boxscheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary conditions. The uniform...

3069SHeatInBar
12 Aug 2021   Contributor(s):: Yuxin Zhang
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches. A series of experiments are designed to study the effects of materials, ambient fluid flows, geometric characteristics, and...

1097SSwimmingPool
08 Aug 2021   Contributor(s):: Barbara ZubikKowal
This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods. On the analytical side, students will solve one of the model equations, describing the first stage of a...

6017SOncolyticViruses
03 Aug 2021   Contributor(s):: Iordanka Panayotova, Maila Hallare
In this project, students explore oncolytic virotherapy using systems of differential equations and numerical simulations. The first activity guides the students in simulating the dynamics between the uninfected cancer cells x(t), the oncolytic virusinfected cancer cells y(t), and the...

3099SPullBack
03 Aug 2021   Contributor(s):: Brody Dylan Johnson
This handson modeling scenario guides students through the development of an empirical model for the velocity and distance traveled of a simple pullback toy. Students can record videos and extract data using their own pullback toy or use data included in the student version. Two different...

5076SLanchesterLaws
27 Jul 2021   Contributor(s):: Blain Patterson
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. In this project, you...

SIMIODE EXPO 2021  B5R3  Technology use  depth, use, type, in discovery, in analysis  Track 1
06 Mar 2021   Contributor(s):: Andrew B. Perry
SIMIODE EXPO 2021  (B5R3) Technology use  depth, use, type, in discovery, in analysis  Track 1 Numerical Solution of Ordinary Differential Equations Using Free Software Andrew Perry, Springfield College, Springfield MA USA This was a presentation made at the SIMIODE EXPO 2021...

Jeremy Schiff
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Fernando MirandaMendoza
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1096SOpAmpDifferentiator
09 Aug 2020   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

1124SWorldPopulation
30 May 2020   Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

2016Barbarossa, Maria Vittoria and Christina Kuttler  Mathematical Modeling of Bacteria Communication in Continuous Cultures.
01 Apr 2020   Contributor(s):: Brian Winkel
Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 117.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

2018Blomhøj, M. , T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes.
01 Apr 2020   Contributor(s):: Brian Winkel
M. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp. Chapter 1  Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in...

2015Wester, Thomas  Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo. Undergraduate thesis.
27 Mar 2020   Contributor(s):: Brian Winkel
Wester, Thomas. 2015. Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo. Undergraduate thesis. U.S. Naval Academy, Annapolis MD USA. 21 pp.Abstract: Ebola is known to evade detection by the immune system during infection. In this...

2017Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala  Mathematical Modeling Applied to Sustainable Management of Marine Resources
27 Mar 2020   Contributor(s):: Brian Winkel
Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344. Abstract: In this work, we formulate and study a nonlinear mathematical model of...

2010Chicone, C.  Mathematical Modeling and Chemical Kinetics. Notes
26 Mar 2020   Contributor(s):: Brian Winkel
2010ChiconeMathModelingANDChemicalKineticsChicone, C. 2010. Mathematical Modeling and Chemical Kinetics. Notes. 14 pp.Motivated by physical science motion laws the author moves into kinetics and life science applications of differential equations.From early section...

2017Varanis, Marcus and Arthur Mereles  Mathematical Model of a Vehicle Crash A Case Study
20 Mar 2020   Contributor(s):: Brian Winkel
2017VarnisMerelesMathModelOfVehicleCrashMarcus Varanis and Arthur Mereles. 2017. Mathematical Model of a Vehicle Crash A Case Study. International Journal of Mechanical Engineering Education. 45(1):...

Adebesin Sodiq Ayobami
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