Created
January 4, 2020 20:38
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A simple differential equation solver in 8 lines of code, illustrating Euler's method (♥3b1b)
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| import numpy as np | |
| def f(x, d, g): | |
| Y = 0 | |
| if x < 0: delta = -d | |
| else: delta = d | |
| for t in np.arange(0, x, delta): Y+=delta*g(Y) | |
| del t | |
| return Y |
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Use f(x) to solve a first-order differential equation of some function g and step size d. The closer d is to zero the more accurate Euler's approximations become.
❤️ 3b1b