ode87 Integrator
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/)
Cite As
Vasiliy Govorukhin (2024). ode87 Integrator (https://www.mathworks.com/matlabcentral/fileexchange/3616-ode87-integrator), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
- MATLAB > Mathematics > Numerical Integration and Differential Equations > Ordinary Differential Equations >
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 |