eulersys


eulersys, an R code which uses the forward Euler method to solve a system of ordinary differential equations (ODE).

Licensing:

Copyright 2016 James P. Howard, II

The computer code and data files on this web page are distributed under the BSD-2-Clause license.

Languages:

eulersys is available in an R version.

Related Data and Programs:

adamsbashforth, an R code which uses an Adams Bashforth method to solve an ordinary differential equation (ODE).

backward_euler, an R code which implements the (implicit) backward Euler method for solving an ordinary differential equation (ODE), based on functions from the pracma library of Hans Borchers.

euler, an R code which uses the forward Euler method to solve a single ordinary differential equation (ODE).

eulersys_test

midpoint, an R code which solves one or more ordinary differential equations (ODE) using the (implicit) midpoint method, solving the implicit equation using fsolve() from the pracma library of Hans Borchers.

midpoint_explicit, an R code which solves one or more ordinary differential equations (ODE) using the (explicit) midpoint method, also called the modified Euler method.

rk4, an R code which uses a 4-th order Runge-Kutta method to solve an ordinary differential equation (ODE).

trapezoidal, an R code which implements the (implicit) trapezoidal method for solving an ordinary differential equation (ODE), using fsolve() to handle the implicit equation, adapted from the pracma library of Hans Borchers.

trapezoidal_fixed, an R code which implements the (implicit) trapezoidal method for solving an ordinary differential equation (ODE), using a fixed point method to handle the implicit equation, adapted from the pracma library of Hans Borchers.

Author:

Original R code by James Howard; Modifications by John Burkardt.

Reference:

  1. James Howard,
    Computational Methods for Numerical Analysis with R,
    CRC Press, 2017,
    ISBN13: 978-1-4987-2363-3.
  2. https://CRAN.R-project.org/package=cmna

Source Code:


Last revised on 27 March 2020.