Tags: numerical

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  1. 9-030-S-WaterHammer

    31 Aug 2021 | | Contributor(s):: Panagiotis D. Scarlatos

    The students will develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs). The equations involved are nonlinear and of hyperbolic type. The problem to be solved is an initial-boundary value problem that describes the time evolution of...

  2. 6-075-S-LorenzSystemSimulation

    27 Aug 2021 | | Contributor(s):: Vladimir Riabov

    The Lorenz system will be examined by students as a simple model of chaotic behavior (also known as strange attractor). MATLAB code has been created to find the numerical solutions of the Lorenz’ system of nonlinear ordinary differential equations using various parameters, as well as to...

  3. 4-065-S-GasInjection

    14 Aug 2021 | | Contributor(s):: Vladimir Riabov

    Students will use computer programs (or create their own programming code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary conditions. The uniform...

  4. 3-069-S-HeatInBar

    12 Aug 2021 | | Contributor(s):: Yuxin Zhang

    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches. A series of experiments are designed to study the effects of materials, ambient fluid flows, geometric characteristics, and...

  5. 1-097-S-SwimmingPool

    08 Aug 2021 | | Contributor(s):: Barbara Zubik-Kowal

    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods. On the analytical side, students will solve one of the model equations, describing the first stage of a...

  6. 6-017-S-OncolyticViruses

    03 Aug 2021 | | Contributor(s):: Iordanka Panayotova, Maila Hallare

    In this project, students explore oncolytic virotherapy using systems of differential equations and numerical simulations. The first activity guides the students in simulating the dynamics between the uninfected cancer cells x(t), the oncolytic virus-infected cancer cells y(t),  and the...

  7. 3-099-S-PullBack

    03 Aug 2021 | | Contributor(s):: Brody Dylan Johnson

    This hands-on modeling scenario guides students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own pull-back toy or use data included in the student version. Two different...

  8. 5-076-S-LanchesterLaws

    27 Jul 2021 | | Contributor(s):: Blain Patterson

    Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. In this project, you...

  9. SIMIODE EXPO 2021 - B5-R3 - Technology use - depth, use, type,  in discovery, in analysis - Track 1

    06 Mar 2021 | | Contributor(s):: Andrew B. Perry

    SIMIODE EXPO 2021 - (B5-R3) Technology use - depth, use, type,  in discovery, in analysis - Track 1 Numerical Solution of Ordinary Differential Equations Using Free Software Andrew Perry, Springfield College, Springfield MA USA This was a presentation made at the SIMIODE EXPO 2021...

  10. Jeremy Schiff

    https://simiode.org/members/5473

  11. Fernando Miranda-Mendoza

    https://simiode.org/members/5427

  12. 1-096-S-OpAmpDifferentiator

    09 Aug 2020 | | Contributor(s):: Virgil Ganescu

    In this validation-oriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

  13. 1-124-S-WorldPopulation

    30 May 2020 | | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  14. 2016-Barbarossa, Maria Vittoria and Christina Kuttler - Mathematical Modeling of Bacteria Communication in Continuous Cultures.

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

  15. 2018-Blomhøj, M. , T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes.

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    M. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in...

  16. 2015-Wester, Thomas - Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo.  Undergraduate thesis. 

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    Wester, Thomas. 2015. Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo.  Undergraduate thesis.  U.S. Naval Academy, Annapolis MD USA. 21 pp.Abstract: Ebola is known to evade detection by the immune system during infection. In this...

  17. 2017-Biswasa,  Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala - Mathematical Modeling Applied to Sustainable Management of Marine Resources

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    Biswasa,  Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344. Abstract: In this work, we formulate and study a nonlinear mathematical model of...

  18. 2010-Chicone, C. - Mathematical Modeling and Chemical Kinetics. Notes

    26 Mar 2020 | | Contributor(s):: Brian Winkel

    2010-Chicone-MathModelingANDChemicalKineticsChicone, C.  2010. Mathematical Modeling and Chemical Kinetics. Notes. 14 pp.Motivated by physical science motion laws the author moves into kinetics and life science applications of differential equations.From early section...

  19. 2017-Varanis, Marcus and Arthur Mereles - Mathematical Model of a Vehicle Crash A Case Study  

    20 Mar 2020 | | Contributor(s):: Brian Winkel

    2017-Varnis-Mereles-MathModelOfVehicleCrashMarcus Varanis and Arthur Mereles. 2017. Mathematical Model of a Vehicle Crash A Case Study.  International Journal of Mechanical Engineering Education. 45(1):...

  20. Adebesin Sodiq Ayobami

    https://simiode.org/members/4107