POLKING
ODE Direction Field and Phase Plane

POLKING contains two MATLAB M files,

• DFIELD5, for displaying the direction field, and
• PPLANE5, for displaying the phase plane

        dy/dt = f(y,t)
      

Related Data and Programs:

http://math.rice.edu/~dfield/dfpp.html
DFIELD and PPLANE in Java.

LSODI is a FORTRAN77 library which implements the Livermore Solver for Ordinary Differential Equations, Implicit case.

NMS is a FORTRAN90 library of routines which includes the sophisticated SDRV package for solving systems of ordinary differential equations.

ODE is a FORTRAN90 library of routines for solving a system of ODE's using Adams-Bashforth-Moulton Predictor-Correctors.

RKF45 is a FORTRAN90 library of routines for solving a system of ODE's using a Runge-Kutta-Fehlberg method.

TEST_ODE is a FORTRAN90 library of routines which define a set of tests for ordinary differential equation solvers.

Reference:

1. David Arnold, John Polking,
   Ordinary Differential Equations using Matlab,
   Prentice Hall, 1999.
2. John Polking's Home Page:
   http://www.math.rice.edu/~polking/

DFIELD5 is an interactive tool for studying single first order differential equations. When DFIELD5 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.

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.

DFIELD5 is copyright (c) 1995, 1997, 1998 John C. Polking, Rice University.

Source Code:

• dfield5.m, displays direction fields of an ODE dy/dt = f(y,t).

PPLANE5 is an interactive tool for studying planar autonomous systems of differential equations. When PPLANE5 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. Up to 4 parameters may also be specified. In addition the user is give a choice of the type of field displayed and the number of field points.

When the Proceed button is pressed on the Setup window, the Display window is opened, and a field of the type requested is displayed for the system. When the mouse button is depressed in the Display window, the solution to the system with that initial condition is calculated and plotted.

This is version 5.0b10, and will only run on version 5 of MATLAB.

PPLANE5 is copyright (c) 1995, 1997, 1998 John C. Polking, Rice University.

Source Code:

• pplane5.m, displays phase planes of an ODE dy/dt = f(y,t).

You can go up one level to the MATLAB source codes.