Tags: ordinary differential equations

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  1. 5-010-S-MatrixExponential

    12 Sep 2019 | | Contributor(s):: Kurt Bryan

    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and exercises. It also includes an introduction to...

  2. 2017-Bonin EtAl - Math Modeling Based on ODE for Vaccinology

    09 Dec 2018 | | Contributor(s):: Brian Winkel

    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...

  3. 2-001-Text-S-NumericalMethodsComparisons

    18 Aug 2018 | | Contributor(s):: Swarn Singh

    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 | | Contributor(s):: Stanley Florkowski, Ryan Miller

    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. 2016-Camporesi-Impulsive response method using factorization.

    03 Mar 2018 | | Contributor(s):: Roberto Camporesi

    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...

  6. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | | Contributor(s):: Chris Rasmussen, Michael Keynes

    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...

  7. 2012-NokkaewEtAl-Estimation Of Algae Growth Mode lParameters Using Genetic Algorithm

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    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...

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

    24 May 2017 | | Contributor(s):: CLAUDE MICHAEL CASSANO

    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...

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

    10 Jan 2017 | | Contributor(s):: Ahsan Amin

    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...

  10. Eric Sullivan


  11. Therese Shelton


  12. 2011Zhao Systems Biology - Differential Equations - Survey

    24 Jun 2015 | | Contributor(s):: D. I. Zhao

    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...