#
euler

**euler**,
a C code which
solves one or more ordinary differential equations (ODE)
using the forward Euler method.

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Licensing:

The computer code and data files described and made available on this web page
are distributed under
the MIT license

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Languages:

**euler** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a FreeFem++ version and
a MATLAB version and
an Octave version and
a Python version and
an R version.

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Related Data and Programs:

euler_test

lorenz_ode,
a C code which
sets up the Lorenz system of ordinary differential equations
(ODE), which exhibit sensitive dependence on the initial conditions.

midpoint_explicit,
a C code which
solves one or more ordinary differential equations (ODE)
using the (explicit) midpoint method.

midpoint_fixed,
a C code which
solves one or more ordinary differential equations (ODE)
using the (implicit) midpoint method, using a fixed point method
for the implicit equation.

midpoint_gsl_test,
a C code which
calls the Gnu Scientific Library (GSL) implicit midpoint method
solver for ordinary differential equation (ODE), and uses
gnuplot() to plot the resulting solution.

rk4,
a C code which
applies the fourth order Runge-Kutta (RK) algorithm to estimate the
solution of an ordinary differential equation (ODE).

spring_ode,
a C code which
shows how line printer graphics can be used to make a crude illustration
of a solution of the ordinary differential equation (ODE) that describes
the motion of a weight attached to a spring.

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Source Code:

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Last revised on 25 April 2020.
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