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dfield8.html
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<html>
<head>
<title>
DFIELD8 - Direction Field of a Differential Equation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
DFIELD8 <br> Direction Field of a Differential Equation
</h1>
<hr>
<p>
<b>DFIELD8</b>
is a MATLAB program which
interactively displays the direction field of a differential equation,
by John Polking.
</p>
<p>
<b>DFIELD8</b> is an interactive tool for studying single first order
differential equations. When the program is executed, a setup
window is opened. The user may enter the differential
equation and specify a display window using the interactive
controls in the Setup window.
</p>
<p>
When the Proceed button is pressed on the Setup window, the
Display window is opened. At first this window displays a
direction line field for the differential equation. When the
mouse button is depressed in the Display window, the
solution to the differential equation with that initial
condition is calculated and plotted.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
<b>DFIELD8</b> is copyright (c) by John C. Polking, Rice University.
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>DFIELD8</b> is available in
<a href = "../../m_src/dfield8/dfield8.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes the sophisticated
SDRV package for solving systems of ordinary differential equations.
</p>
<p>
<a href = "../../m_src/pplane8/pplane8.html">
PPLANE8</a>,
a MATLAB program which
interactively displays the phase plane of a differential equation,
by John Polking.
</p>
<p>
<a href = "../../f_src/rkf45/rkf45.html">
RKF45</a>,
a FORTRAN90 library which
solves a system of
ODE's using a Runge-Kutta-Fehlberg method.
</p>
<p>
<a href = "../../f_src/test_ode/test_ode.html">
TEST_ODE</a>,
a FORTRAN90 library which
define a set of
tests for ordinary differential equation solvers.
</p>
<h3 align = "center">
Author:
</h3>
<p>
John Polking.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
David Arnold, John Polking,<br>
Ordinary Differential Equations using Matlab,<br>
Second Edition,<br>
Prentice Hall, 1999,<br>
ISBN: 0130113816,<br>
LC: QA371.D37.P65.
</li>
<li>
John Polking's Home Page:<br>
<a href = "http://www.math.rice.edu/~polking/">
http://www.math.rice.edu/~polking/</a>
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "dfield8.m">dfield8.m</a>, displays direction fields
of an ODE dy/dt = f(y,t).
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "wiggle_function.png">wiggle_function.png</a>,
the direction field and some trajectories for x' = x * cos(t).
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 12 July 2011.
</i>
<!-- John Burkardt -->
</body>
</html>