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/)