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<title>Ordinary Differential Equations - GNU Scientific Library -- Reference Manual</title>
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<h2 class="chapter">26 Ordinary Differential Equations</h2>
<p><a name="index-differential-equations_002c-initial-value-problems-2157"></a><a name="index-initial-value-problems_002c-differential-equations-2158"></a><a name="index-ordinary-differential-equations_002c-initial-value-problem-2159"></a><a name="index-ODEs_002c-initial-value-problems-2160"></a>This chapter describes functions for solving ordinary differential
equation (ODE) initial value problems. The library provides a variety
of low-level methods, such as Runge-Kutta and Bulirsch-Stoer routines,
and higher-level components for adaptive step-size control. The
components can be combined by the user to achieve the desired
solution, with full access to any intermediate steps. A driver object
can be used as a high level wrapper for easy use of low level
functions.
<p>These functions are declared in the header file <samp><span class="file">gsl_odeiv2.h</span></samp>.
This is a new interface in version 1.15 and uses the prefix
<code>gsl_odeiv2</code> for all functions. It is recommended over the
previous <code>gsl_odeiv</code> implementation defined in <samp><span class="file">gsl_odeiv.h</span></samp>
The old interface has been retained under the original name for
backwards compatibility.
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<li><a accesskey="1" href="Defining-the-ODE-System.html">Defining the ODE System</a>
<li><a accesskey="2" href="Stepping-Functions.html">Stepping Functions</a>
<li><a accesskey="3" href="Adaptive-Step_002dsize-Control.html">Adaptive Step-size Control</a>
<li><a accesskey="4" href="Evolution.html">Evolution</a>
<li><a accesskey="5" href="Driver.html">Driver</a>
<li><a accesskey="6" href="ODE-Example-programs.html">ODE Example programs</a>
<li><a accesskey="7" href="ODE-References-and-Further-Reading.html">ODE References and Further Reading</a>
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