 Systems of ODEs: Modified Euler

This app uses the modified Euler IVP method to numerically approximate the solution of a system of ordinary differential equations

$\qquad \dfrac{\mathrm{d} x_{1}}{\mathrm{d} t} = f_{1}'(t, y)$
$\qquad \dfrac{\mathrm{d} x_{2}}{\mathrm{d} t} = f_{2}'(t, y)$

$\qquad\qquad \vdots$

$\qquad \dfrac{\mathrm{d} x_{n}}{\mathrm{d} t} = f_{n}'(t, y)$

with $a \leq t \leq b, \quad x_{1}(a) = \alpha_{1}, x_{2}(a) = \alpha_{2}, \cdots, x_{n}(a) = \alpha_{n}.$

and plots the results on a graph for visualization purposes.

1
A system of $n$ ODE equations.
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
Initial value problem method to be used to solve the systems ODE equations numerically.
6
Number of iterations to display.
7
Decimal points to display (does not affect internal precision). Systems of ODEs: Modified Euler

Enter your valid inputs then click to display results.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development. Systems of ODEs: Modified Euler

Enter your valid inputs then click to display Python syntax.

Our applications use latest technologies to bring computational power to the web, and are the result of 10+ years of lecturing, training, research, programming and development.