ode87 Integrator

This program integrates ode system with high accuracy.

Description

ODE87 is a realization of explicit Runge-Kutta method. Integrates a system of ordinary differential equations using 8-7 th order Dorman and Prince formulas. See P.J. Prince & J.R. Dorman (1981) High order embedded Runge-Kutta formulae. J.Comp. Appl. Math., Vol. 7. p.67-75.

This is a 8th-order accurate integrator therefore the local error normally expected is O(h^9). This requires 13 function evaluations per integration step.

Some information about method can be found in Hairer, Norsett and Wanner (1993): Solving Ordinary Differential Equations. Nonstiff Problems. 2nd edition. Springer Series in Comput. Math., vol. 8.

Interface to program based on standart MATLAB ode-suite interface but with some restriction.

This file is intended for use with MATLAB and was produced for MATDS-program (see http://www.math.rsu.ru/mexmat/kvm/matds/)

• MATLAB release: MATLAB 6.1 (R12.1)

[didi Stankova]

?

[Igor Razdobreev]

Fast, works with R13, R14 also.

[Michal MatlabUser]

Very good commented, clear easyly understandable, good for learning, the only thing involved in such a method would be truncation error ? (large number of floating point operations) but thanks to this code I was able to understand Runge Kutta Excellent job!

[ahmed esmail]

 

[Oleg Roderick]

 

[alaa taha]

iam worke in university of basrah

[pedro Risalazo Ccallo]

ok, is good integration

[Amita Deb]

I used this for integrating Schroedinger equation in Quantum Mechanics for a three-level system. As opposed to ode45, ode87 preserves normalization to a good extent (one part in 10^4 in my case).

[A B]

please

[Jian Xu]

I need to integrate orbit-problems