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  1. ordinarydifferentialequations x
  1. 2017-Bonin EtAl - Math Modeling Based on ODE for Vaccinology

    09 Dec 2018

    Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

  2. 2-001-Text-S-NumericalMethodsComparisons

    18 Aug 2018 | Technique Narratives

    It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

  3. 2-001-Text-T-NumericalMethodsComparisons

    18 Aug 2018 | Technique Narratives

    It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

  4. 6-018-S-ExploringSIRModel

    30 May 2018 | Modeling Scenarios

    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting...

  5. 6-018-T-ExploringSIRModel

    30 May 2018 | Modeling Scenarios

    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting...

  6. 2016-Camporesi-Impulsive response method using factorization.

    03 Mar 2018 | Potential Scenario Ideas

    Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 82-99Summary: We present an approach to the impulsive response method for solving...

  7. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Potential Scenario Ideas

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

  8. 2012-NokkaewEtAl-Estimation Of Algae Growth Mode lParameters Using Genetic Algorithm

    08 Sep 2017 | Potential Scenario Ideas

    Nokkaew, A. Et Al. Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm. WSEAS TRANSACTIONS on COMPUTERS. 11(11): 377-386. http://www.wseas.org/multimedia/journals/computers/2012/56-122.pdf . Accessed 7 September 2017.ABSTRACT: This paper presents a double layer...

  9. A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations

    24 May 2017 | Articles and Publications

    A particular solution for any nonhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by example a particular solution formula for arbitrary order is obtained. Finding a particular solutions to...

  10. On the General Solution of Initial Value Problems of Ordinary Differential Equations Using the Method of Iterated Integrals

    10 Jan 2017 | Articles and Publications

    Our goal is to give a very simple, effective and intuitive algorithm for the solution of initial value problem of ordinary differential equations of first order and higher order with  constant, variable or nonlinear coefficients and systems of these ordinary differential equations. We find...

  11. 1-033-T-SouthernBarbeque

    22 Jun 2016 | Modeling Scenarios

    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue.  One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.  This data can be used to model and predict the amount...

  12. 2011Zhao Systems Biology - Differential Equations - Survey

    24 Jun 2015 | Potential Scenario Ideas

    Zhao, D. I. 2011. Differential Equation Models for  Systems Biology:  A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA.  30 pp. http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015.Abstract:  In this paper, we will...

  13. Text-Ordinary Differential Equations

    23 Jun 2015 | Articles and Publications

    Nagy, Gabriel. 2015. Ordinary Differential Equations. Mathematics Department, Michigan State University, East Lansing MI USA. 333 pp. http://users.math.msu.edu/users/gnagy/teaching/ode.pdf . Accessed 22 June 2015.This text is free and downloadable. The coverage is formal with proofs of...

  14. 7-005-T-Text-LaplaceTransformOverView

    06 Jun 2015 | Technique Narratives

    The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here.

  15. 3-001-T-SpringMassDataAnalysis

    05 Jun 2015 | Modeling Scenarios

    We offer data on the position of a mass at the end of a spring over time where the spring mass configuration has additional damping due to taped flat index cards at the bottom of the mass. The general modeling of a spring mass configuration and the estimation of parameters form the core of this...

  16. 6-030-T-SaltTorricelli

    04 Jun 2015 | Modeling Scenarios

    We build on  a model (Torricelli's Law ) for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water and the resulting Torricelli's Law model to estimate a parameter in...

  17. 1-027-T-StochasticProcesses

    04 Jun 2015 | Modeling Scenarios

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...

  18. 1-026-T-Evaporation

    04 Jun 2015 | Modeling Scenarios

    We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We  ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...

  19. 1-025-T-MixingItUp

    04 Jun 2015 | Modeling Scenarios

    Students build three different models for levels of  salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.

  20. 1-023-T-RumorSpread

    04 Jun 2015 | Modeling Scenarios

    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation. The data shows and the intrinsic growth rates confirm that the false rumor spread faster than true rumor.