ODE_MOSHIER
Ordinary Differential Equation Solvers

ODE_MOSHIER is a C library which solves systems of ordinary differential equations. Two main methods are implemented, the Adams-Bashforth-Moulton integrator, and the Runge-Kutta integrator, by Steven Moshier.

Languages:

ODE_MOSHIER is available in a C version.

Related Data and Programs:

CWG_ODE, a FORTRAN77 library which contains three ODE solvers by C William Gear.

NMS, a FORTRAN90 library which includes a wide variety of numerical software.

ODE, a C library which solves a system of ordinary differential equations, by Shampine and Gordon.

ODEPACK, a FORTRAN77 library which contains nine ODE solvers, including LSODE, LSODES, LSODA, LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS, by Alan Hindmarsh.

RK4, a C library which applies the fourth order Runge-Kutta algorithm to estimate the solution of an ordinary differential equation at the next time step.

RKF45, a C library which implements the Watt and Shampine RKF45 ODE solver.

TEST_ODE, a FORTRAN90 library which contains routines which define some test problems for ODE solvers.

Author:

Steven Moshier

Reference:

1. Benku Thomas,
   The Runge-Kutta Methods,
   BYTE,
   Volume 11, Number 4, April 1986, pages 191-192.
2. Lawrence Shampine, Marilyn Gordon,
   Computer Solution of Ordinary Differential Equations: The Initial Value Problem,
   Freeman, 1975,
   ISBN: 0716704617,
   LC: QA372.S416.

Source Code:

• adams3.c, the source code for the Adams-Bashforth-Moulton method;
• rungek.c, the source code for the Runge-Kutta method;
• ode_moshier.h, the include file.

Examples and Tests:

• ode_moshier_test.c, the calling program;
• ode_moshier_test_input.txt, an input file to specify the Adams order, step size, and number of steps.
• ode_moshier_test.txt, the output file.

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