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Views
Date
Relevance
Modeling Scenario
278
views
112
downloads
0
comments
5-036-HalfCarVibration-ModelingScenario
Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF) including pitch and bounce of vehicle body on suspension...
vibration
vehicle
half-car model
finite element analysis
shock absorbers
suspension
Potential Scenario
227
views
79
downloads
0
comments
2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
microbiology
Lotka Volterrra
microbiota
Potential Scenario
182
views
77
downloads
0
comments
2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
air pollution effects on forest ecosystems
finite volume method
boundary layer
chemical kinetics
finite difference
emissions
depositions
advection
Modeling Scenario
207
views
218
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Technique Narrative
372
views
188
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Technique Narrative
395
views
818
downloads
0
comments
8-002-TrigSumRepresentation-TechniqueNarrative
Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.
estimation
Trigonometry
Trigonometric Functions
sum of square errors
finite sum
Fourier series
Fouriere sum
spectrum
approximatiopn
Potential Scenario
252
views
48
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Potential Scenario
160
views
66
downloads
0
comments
2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
least-squares approximation
Spline modeling
Monte Carlo simulations
variable selection
adaptive LASSO
Modeling Scenario
190
views
144
downloads
0
comments
9-030-WaterHammer-ModelingScenario
We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.
Stock and Flow model
hyperbolic equations
finite differences
water hammer
hydrodynamics
compressibility
wave celerity
Potential Scenario
164
views
51
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Potential Scenario
138
views
54
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Potential Scenario
112
views
43
downloads
0
comments
1994-M_Yamaguti-Discrete Models in Social Sciences
Also, a finite difference model in sociology is given as a chaotic phenomenon.
economics
chaos
sociology
discrete
discretization
Potential Scenario
137
views
42
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
124
views
51
downloads
0
comments
2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.
QUBES Leadership Team
parameters
absorption
bifurcation
pharmacokinetics
calcium
cognitive decline
Technique Narrative
860
views
115
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
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