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Downloads
Views
Date
Relevance
Potential Scenario
139
views
58
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Potential Scenario
136
views
66
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
Potential Scenario
175
views
45
downloads
0
comments
2017-Helen-Byrne-Further Mathematics Biology
These studies will be in the context of ecological, biological and biochemical applications.
epidemics
chemotaxis
enzyme-substrate
ion channels
nerve pulses
gene proagation
tumour
Potential Scenario
214
views
82
downloads
0
comments
2018-W_Hohenauer-Physical modelling based on first order ODEs
An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.
discharge
capacitor
magnetic field
induction
magnetic induction
Potential Scenario
675
views
86
downloads
0
comments
2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.
kinetics
Physical Chemistry
Lotka Volterra equations
Berkeley Madonna platform
Potential Scenario
134
views
38
downloads
0
comments
1992-CHF_Bulte-The differential equation of the deflection curve
This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general formulation and solution as a multipoint BVP.
beam
deflection
shear force
bending moment
critical load
natural frequency
Potential Scenario
122
views
39
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
Potential Scenario
111
views
53
downloads
0
comments
2015-Cano-EtAl-Bringing partial differential equations to life for students
This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.
Java Simulation
FreeFem
authoring tools
authoring methods
physical modelling
classroom teaching
Potential Scenario
137
views
65
downloads
0
comments
2013-Michael-Evans-Growth and Decay
Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.
exponential growth
exponential decay
isotopes
populations
resource depletion
Potential Scenario
276
views
58
downloads
0
comments
2012-Hassan_Moore-Using projects to stimulate learning in mathematics and engineering mathematics courses
Given that time is a premium in the academy and project creation is a time consumer, three original projects, which may be injected into any Calculus III, Differential Equations, or Engineering Mathematics course, have been created.
solutions
class projects
physical phenomenon
Potential Scenario
159
views
49
downloads
0
comments
2009-Reid-King-Pendulum Motion and Differential Equations
This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect real-world behavior.
pendulum
physical pendulum
Potential Scenario
133
views
40
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Potential Scenario
162
views
72
downloads
0
comments
2017-Guy-Bart_Stan-Modelling in Biology
This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
spring mass
bifurcation
mass action
limit cycles
Potential Scenario
133
views
68
downloads
0
comments
2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
tummor growth
research experience
Potential Scenario
164
views
74
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Potential Scenario
164
views
52
downloads
0
comments
2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
It is advisable that the professionals involved learn the various tools available for designing effective training programs.
fitness
exercise physiology
critical power model
Banister impulse-response model
coaching education
physical fitness
performance modeling
Potential Scenario
182
views
49
downloads
0
comments
2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
dynamical systems
chemical reaction
reaction network
mass action
Potential Scenario
168
views
47
downloads
0
comments
2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.
experimental design
helicopter
Potential Scenario
158
views
78
downloads
0
comments
2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
circuit
voltage
capacitor
nondimensionalization
Potential Scenario
140
views
58
downloads
0
comments
1999-McCartney-Carey-Modelling Traffic Flow Solving and Interpreting Differential EquationsÂ
A simple mathematical model for how traffic flows along a road is introduced.
traffic
traffic flow
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