This app uses the **Milne-Simpson** method to numerically approximate the solution of the initial value problem

\(\qquad y' = \dfrac{\mathrm{d} y}{\mathrm{d} t} = f(t, y), \quad a \leq t \leq b, \quad y(a) = \alpha.\)

and plots the results on a graph for visualization purposes.

Label | Description / Your input | |
---|---|---|

1 | ODE equation to be numerically solved. The exact solution can also be included if it exists. | |

2 | Start and end time points respectively. | |

3 | Value of dependent variable at time zero, \(y_{0} = y(t_{0})\). | |

4 | Either the number of steps, \(n\) specified as an integer or the step-size, \(h\) where \(t_{0} < h < t_{f}\). | |

5 | Euler method be used to solve the ODE equation numerically. | |

6 | Initial value method to be used to calculate the starting values. | |

7 | Number of iterations to display. | |

8 | Decimal points to display (does not affect internal precision). | |

Enter your valid inputs then click

Enter your valid inputs then click

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