47 lines
819 B
Python
47 lines
819 B
Python
def f(xi, yi):
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ys = xi + yi
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return ys
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# Gegeben:
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x0 = 0
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y0 = 0
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h = 0.2
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xmax = 0.4
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Ey = 0.0001
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x = [x0]
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y = [[y0]]
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n = 0
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while x[-1] < xmax:
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x.append(x[-1]+h)
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fn = f(x[n], y[n][-1])
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if n == 0:
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y_neu = y[n][-1] + h * fn
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else:
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y_neu = y[n-1][-1] + 2*h * fn
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y.append([y_neu])
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dy = 1
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while dy > Ey:
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y_neu = y[n][-1] + h/2 * (fn + f(x[n+1], y[n+1][-1]))
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y[-1].append(y_neu)
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dy = abs(y[-1][-2]-y[-1][-1])
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n += 1
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print(x)
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print(y)
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werte = []
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for i in range(len(x)):
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werte.append((x[i], y[i][-1]))
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for paar in werte:
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print(f"({round(paar[0], 5)}, {round(paar[1], 5)})")
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integral = 0
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for i in range(len(werte)-1):
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integral += (werte[i+1][1]+werte[i][1])/2 * (werte[i+1][0]-werte[i][0])
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print(f"Integral = {round(integral, 5)}")
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