What is Runge kutta: Definition and 56 Discussions

In numerical analysis, the Runge–Kutta methods (English: (listen) RUUNG-ə-KUUT-tah) are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta.

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  1. Q

    Not sure if this is the right place: Runge Kutta in C for electron trajectory

    Homework Statement Code to do a 4th order Runge-Kutta to get trajectories for electron paths. When trying to substitute conditions into my program, it returns rubbish. Homework Equations Basically I want to change my lower limit to -0.003, my upper limit to 0.007. Initial conditions...
  2. B

    Explain 4th Order Runge Kutta Method in Layman's Terms

    can anyone please explain the fourth order runge kutta method in laymans terms. I've to describe in detail for a report.
  3. S

    H value in runge kutta method 2nd order

    hi can anyone explain to me how to get the H value for runge kutta second method? I've searched everywhere online but i just don't understand it. if found h = tn - to/n?? i know what value of "to" is but no clue what values to put in for n and tn? thanks
  4. M

    Solve RK4 in C++ for Sekhar Mass White Dwarf Star

    Runge Kutta Method in C++ Please Help Me This is for an RK4 second order equation. I have run this program several times and am getting the incorrect limit for the Sekhar Mass of the White dwarf star. I was wondering if anyone has a suggestion. Ill post my Source here as well. The program...
  5. H

    Symplectic runge kutta for hamiltonian system

    Hi ! I'm trying to solve the restricted problem of three bodies, where a negligeable mass particule is moving in the gravitationnal field of two heavy objects which are in circular orbit around their common center of mass. this is a plane problem... I describe the mouvment in the mobile...
  6. A

    Runge Kutta 4: problems in application in computer simulation

    Hi everyone! Despite I have not too much knowledge of ODE's I'm trying to implement a more or less general 3D physics simulator. By now, the simulator (only kinematics and simple rotations of a body rigid, at the moment) works with euler integrator but I'd like to move to some more...
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