Matlab Database > Teaching Material > Numerical Methods for ODEs (English)

Numerical Methods for ODEs (English)

  • Exercises in Category Numerical Methods for ODEs (English)

    Title Summary Primary Author Date
    3-stage Runge-Kutta
    Implementation of a 3-stage Runge-Kutta scheme Student 2009-12-14
    Adams-Bashford Method
    Implementation of the Adams-Bashford method M2-TUM 2005-03-07
    Comparison of BDF methods
    Implementation of BDF methods of order 1 to 5 with the help of a fixpoint iteration. Testing and comparing with different ODE systems. Student 2010-01-19
    Conservation of energy
    With help of the Crank-Nicolson method is numerically tested, that the conservation of energy holds for the harmonic oscillator. Student 2010-01-12
    Crank-Nicolson Method
    Implementation of the Crank-Nicolson method for a cooling body. M2-TUM 2005-03-07
    Discretization error
    Numerical estimation of the dscretization error by means of a simplified predator-prey model. Student 2010-01-06
    Implementation of blended LMSM
    Implement a 3-step blended linear multi-step method by means of a Newton-Iteration. Compare the blended LMSM and the BDF4 method for the example of a stiff beam. Student 2010-01-26
    Implementation of explicit Runge-Kutta methods
    Implement one step of the explicit Runge-Kutta method of stage s. Student 2010-01-26
    Implicit RKM
    Implementation of an implicit Runge-Kutta scheme Student 2009-12-15
    Lorenz attractor
    Solve the Lorenz system with the help of the Adams-Bashforth-Moulton method of order 6. Student 2010-01-26
    Lotka-Volterra
    Implementation of the Euler- and Heun-method and test with the Lotka-Volterra ODE Student 2009-12-14
    ODE solvers in Matlab
    Using ODE solvers in Matlab Student 2009-12-14
    One-step methods
    implement the modified Euler and Heun method and apply it to the predator-prey model Student 2010-01-05
    Predictor-Corrector Method
    Implementation of the predictor-corrector (or Adams-Bashford-Moulton) method M2-TUM 2005-06-17
    Runge-Kutta Solver
    Implementation of the 3/8 Runge-Kutta method M2-TUM 2005-03-07
    Runge-Kutta with Step-Size Control
    Implementation of an explicit solver with step-size control M2-TUM 2005-06-17
    Simple Initial Value Problem
    implement the forward Euler scheme and method of Heun for a simple initial value problem Student 2010-01-05
    Solving a chemical reaction
    The ODE-system of the so-called "Oregonator" is solved with diferent one-step methods. Student 2010-01-12
    Stability in a Simple ODE
    Implementation of a simple ODE and the corresponding Runge-Kutta solver M2-TUM 2005-03-07
    Start-up calculation for MSM
    Implement the multi-step Adams-Bashford method of stage 4; Compute the start-up values in three different ways and compare the results. Student 2010-01-15
    Start-up calculation for MSM (2)
    Implement the BDF4-method and test different start-up calculations. Student 2010-01-26
    Step size control
    Solve the three body problem in 3D by means of an adaptive Runge-Kutta scheme. Student 2010-01-06
    Stiff ODE system
    Solving a stiff ODE system which models a chemical process. Student 2010-01-06