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Downloads
Views
Date
Relevance
Potential Scenario
136
views
73
downloads
0
comments
2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kinetics
zeroth order reaction
first order reaction
second order reaction
reaction rates
third order reaction
Potential Scenario
254
views
60
downloads
0
comments
1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which chemical processes occur.
kinetics
first order
reaction
second order
zeroth order
Potential Scenario
337
views
95
downloads
0
comments
2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
kinetics
chemical kinetics
zeroth order reaction
first order reaction
second order reaction
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
169
views
52
downloads
0
comments
2012-Ogunrinde-Sunday-On some models based on second order differential equation
This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
species interaction
pricing policy
optimal inventory
Potential Scenario
157
views
61
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Article or Presentation
169
views
47
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Article or Presentation
104
views
56
downloads
0
comments
2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.
combat
combat model
species interaction
Article or Presentation
180
views
70
downloads
0
comments
2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is solved and interpreted.
differential equations
traffic flow
vehicle follow
second order
Potential Scenario
140
views
56
downloads
0
comments
2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.
Excel
Spreadsheet
Article or Presentation
188
views
70
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.
kinetics
parameter estimation
logistic
chemical kinetics
chemical reaction
Free Online Textbook
240
views
120
downloads
0
comments
2021-G_Nagy-Ordinary_Differential_Equations
This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations.
differential equations
textbook
Potential Scenario
172
views
40
downloads
0
comments
1967-Israelsson- Johnsson-Circumnutations In Helianthus Annuus
A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.
plant
oscillation
delay
circumnutation
turning
Potential Scenario
169
views
67
downloads
0
comments
2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of Motion
Newton's Law of Cooling
biochemical reactions
Poiseuille’s Law
stopping distance
Potential Scenario
150
views
41
downloads
0
comments
2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
laboratory
data collection
RLC circuit
invers problem
electrical circuit
Free Online Textbook
192
views
64
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
599
views
77
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
146
views
84
downloads
0
comments
2017-Bruce_Emerson-Wonderful World of Differential Equations
This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.
Newton's Second Law of Motion
Newton's Law of Cooling
reactions
Poiseuille’s Law
stopping distance
rate of change
problems
modeling opportunities
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
158
views
48
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
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