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Downloads
Views
Date
Relevance
Modeling Scenario
353
views
216
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Potential Scenario
111
views
41
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Free Online Textbook
97
views
42
downloads
0
comments
2015-Dan_Sloughte-Notes on Diffy Qs Differential Equations for Engineers
This is a calculus book with the last chapter devoted to ordinary differential equations topics. The effort begins with a study of numerical methods and goes through traditional technique strategies.
Numerical Methods
pendulum
text
Potential Scenario
196
views
60
downloads
0
comments
2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving fourteen parameters.
stage structure
sensitivity analysis
mortality
omnivore
omnivory model
search rates
Modeling Scenario
235
views
147
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Potential Scenario
99
views
38
downloads
0
comments
2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
glucose tolerance test
sum of squared residuals
multiple shooting method
cost function
Potential Scenario
100
views
44
downloads
0
comments
2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.
Metabolism
insulin resistance
glucose
PID controller
intolerance
Potential Scenario
122
views
38
downloads
0
comments
1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.
combat
Lanchester
Free Online Textbook
160
views
36
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Potential Scenario
91
views
38
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Modeling Scenario
385
views
225
downloads
0
comments
3-092-WirelessPower-ModelingScenario
We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is homogeneous while the other one is non-homogeneous.
DESMOS
wireless power transmission
electric circuits
Kirchhoff's Voltage Law
Potential Scenario
133
views
45
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
125
views
43
downloads
0
comments
1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward a computer-oriented course in differential...
cooperation
harvesting
Romeo and Juliet
love
cannibalism
overcrowding
Free Online Textbook
198
views
64
downloads
0
comments
2011-Richard_Fitzpatrick-Newtonian_Dynamics
This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of motion.
modeling
textbook
physics
bifurcation
Modeling Scenario
180
views
196
downloads
0
comments
5-015-RunnersSynchronize-ModelingScenario
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena.
predator
Autonomous equations
oscillation
coupled oscillator
synchrony
runner
prey
Kuramato model
Potential Scenario
193
views
67
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
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