[F20] Differential Equations. BS19-02
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Given the initial value problem with the ODE of the first order and some interval:
y'=f(x, y)
y(x_0)=y_0
x belongs to (x_0; X) -
Implement the following numerical methods:
- Euler’s method
- improved Euler’s method
- Runge-Kutta method
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Provides data visualization capability (charts plotting) in the user interface using JavaFX
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Constructs a corresponding approximation of the solution of a given initial value problem and the exact solution of an IVP (with the possibility of changing the initial conditions).
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Investigates the convergence of these numerical methods on different grid sizes (with the possibility of changing the number of grid steps).
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Compares approximation errors of these methods plotting the corresponding chart for different grid sizes (with the possibility of changing the range of grid steps).
