Forward Euler method, version 1

contents/forward_euler_method/code/coconut/euler.coco

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+import numpy as np
+
+def forward_euler(time_step, n):
+    y = 1
+    for _ in range(n):
+        yield y
+        y *= (1 - 3 * time_step)
+
+
+def check(result, threshold, time_step):
+    x = np.linspace(0, 1, 1 / time_step)
+    solution = np.exp(-3 * x)
+    return np.abs(solution - result) <= threshold).all()
+
+
+if __name__ == '__main__':
+    time_step = 0.01
+    n = 100
+    threshold = 0.01
+
+    result = np.array(list(forward_euler(time_step, n)))
+    approx = check(result, threshold, time_step)
+    print("All values within threshold") if approx else print("Value(s) not in threshold")