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Modeling Scenario
187
views
155
downloads
0
comments
4-035-ParEstSteadyState-ModelingScenario
Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
driver
steady state
sum of square errors
Modeling Scenario
168
views
143
downloads
0
comments
3-150-ItsABlastFurnace-ModelingScenario
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.
steady state
heat equation
inverse problem
furnace
Modeling Scenario
272
views
130
downloads
0
comments
1-001c-PopulationDecayThenSome-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.
simulation
occupancy
population
hotel
Modeling Scenario
319
views
130
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Modeling Scenario
231
views
190
downloads
0
comments
7-020-ThermometerInVaryingTempStream-ModelingScenario
We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.
temperature
steady state
thermometer
heat exchange
transfer function
phase lag
Invers Laplace Transform
Modeling Scenario
230
views
367
downloads
0
comments
3-004-VanderPol-ModelingScenario
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.
phase plane
Van der Pol oscillator
limit cycle
Runge-Kutta method
Lienard equation
Modeling Scenario
291
views
293
downloads
0
comments
5-040-TunedMassDampers-PartII-ModelingScenario
Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a spring-mass-dashpot with stiffness replacing spring...
structure
resistance
spring-mass-dashpot
earthquake
vibration
control
damping
tuned mass damper
stiffness
reduction of vibration
Modeling Scenario
271
views
208
downloads
0
comments
7-010-MultipleDoses-ModelingScenario
Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and another involves steady drip flow...
drug discovery
step function
dose
Dirac
drug administration
inverse Laplace Transform
intraveneous
bolus
steady drip
Modeling Scenario
214
views
139
downloads
0
comments
6-023-DroneHeadingHome-ModelingScenario
We describe a comprehensive project in modeling through a two dimensional system of equations and a first order system of differential equations a drone heading home.
drones
oursuit
flight path
change of variables
Modeling Scenario
746
views
300
downloads
1
comments
1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance
Flight
Rocketry
mass
Newton's Second Law of Motion
thrust
Free Body Diagram
apex
rocket
Modeling Scenario
326
views
175
downloads
0
comments
1-005A-ChemDataCollection-ModelingScenario
A student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting data. She only collects data at the start and end of a number of ten minute intervals and does not keep track of when the observations are...
linear regression
kinetics
chemistry
order of reaction
chemical reaction
chemical data
infusion
differencing
Modeling Scenario
325
views
227
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Article or Presentation
150
views
61
downloads
0
comments
SIMIODE Spring 2024 Webinars - WikiModel
WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.
modeling
Software
tool
application
WikiModel
modeling cycle
Modeling Scenario
428
views
147
downloads
0
comments
1-046-GoingViral-ModelingScenario
Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire class participates.
simulation
mathematical model
data
logistic
random number generator
fitting
random process
Modeling Scenario
805
views
452
downloads
0
comments
1-012-Sublimation-Modeling Scenario
We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the...
sublimation
dry ice
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