Eulers-Method-Python

Euler's Method approximation in Python.

Usage

Define your own class with an evaluate method, which accepts x and y as arguments and returns a value.

Example:

class Derivative:
    def evaluate(self, x, y):
        return x - 2 * y * math.sin(x)

Import the library, then call the evaluate method to generate a table of data.

Parameters:

• Derivative class
• Starting X
• Starting Y
• Ending X
• Step size (Optional, default 0.5)

Example:

import euler
calc = euler.EulerCalculator()
points = calc.evaluate(Derivative(), 0, 20, 2, stepSize=0.1)
calc.graph(points)

Output:

  x         y
---  --------
0    20
0.1  19.6107
0.2  18.8515
0.3  17.7673
0.4  16.4235
0.5  14.8987
0.6  13.2762
0.7  11.6357
0.8  10.0463
0.9   8.56238
1     7.22138
1.1   6.04423
1.2   5.03754
1.3   4.19675
1.4   3.50961
1.5   2.95945
1.6   2.52781
1.7   2.19646
1.8   1.94866
1.9   1.76985