Two-order Runge-Kutta Method for systems of ordinary differential equations using Mathematica

Аnotation

0. | 1. | 2. |

0.1 | 0.8925 | 2.57164 |

0.2 | 0.714405 | 3.00638 |

0.3 | 0.47236 | 3.36747 |

0.4 | 0.167222 | 3.68692 |

0.5 | -0.203373 | 3.98705 |

Conclusion: The solution derived using the Runge-Kutta method O() is in the form of a table of the variable functions y(x) and z(x), shown in the second and third columns of the table above, respectively. Since the local apriori error of the method is O() (or global error is O() ) and here h=0.1, then these solutions must be rounded to three symbols after the decimal point.

Graphic of the solution

Created by Wolfram Mathematica 6.0 (22 September 2008) |