Text Search:
Applied Filters
    2009-Shamim-EtAl-Investigating viscous damping using a webcam
    We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
    207

    views

    54

    downloads

    0

    comments

    0

    adaptations

    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
    125

    views

    39

    downloads

    0

    comments

    0

    adaptations

    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...
    161

    views

    61

    downloads

    0

    comments

    0

    adaptations

    2009-James_May-Nonlinear vibration control of long flexible structures
    An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order...
    152

    views

    54

    downloads

    0

    comments

    0

    adaptations

    5-005-Dialysis-ModelingScenario
    We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the...
    330

    views

    516

    downloads

    0

    comments

    0

    adaptations

    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...
    187

    views

    301

    downloads

    0

    comments

    0

    adaptations

    Nuclear and Cytoplasmic Viscosity
    This module introduces a modified Stokes-Einstein equation in the context of understanding the difference in viscosity between the nucleus and cytoplasm of cells
    869

    views

    158

    downloads

    0

    comments

    0

    adaptations

    2017-Alex_Honchar-Neural Networks For Solving Differential Equations
    In this post I want to show how I applied simple feed-forward NNs to different differential equations with increasing complexity: ODEs, second order ODEs, and, finally, PDEs.
    150

    views

    92

    downloads

    0

    comments

    0

    adaptations

    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...
    243

    views

    103

    downloads

    0

    comments

    0

    adaptations

    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...
    2003

    views

    376

    downloads

    0

    comments

    0

    adaptations

    Using Regression Models to Examine the Effect of Carbon Dioxide on Fluid pH
    In this activity students will use statistics and regression models to explore the effects of carbon dioxide on blood pH by measuring pH changes that occur over time as carbon dioxide reacts with...
    409

    views

    149

    downloads

    0

    comments

    0

    adaptations

    1-068-WaterBottleCooling-ModelingScenario
    Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.
    250

    views

    157

    downloads

    0

    comments

    0

    adaptations

    1-090-EmptySphericalTank-ModelingScenario
    We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to...
    251

    views

    267

    downloads

    0

    comments

    0

    adaptations

    1-120-CircularRollerCoaster-ModelingScenario
    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....
    371

    views

    368

    downloads

    0

    comments

    0

    adaptations

    7-020-ThermometerInVaryingTempStream-ModelingScenario
    We present a first order differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy...
    257

    views

    246

    downloads

    0

    comments

    0

    adaptations

    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 .
    135

    views

    40

    downloads

    0

    comments

    0

    adaptations

    2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
    Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
    160

    views

    52

    downloads

    0

    comments

    0

    adaptations

    9-125-BeamModeling-ModelingScenario
    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam...
    241

    views

    335

    downloads

    0

    comments

    0

    adaptations

    1-073-WaterExitBottle-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
    264

    views

    166

    downloads

    0

    comments

    0

    adaptations

    6-002-EulerCromerPendulum-ModelingScenario
    This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method...
    320

    views

    301

    downloads

    0

    comments

    0

    adaptations