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August 29, 2015 10:52
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Numerical integration with Python. Full article at http://www.firsttimeprogrammer.blogspot.com/2015/03/numerical-integration-with-python.html
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| # Output | |
| # >>> ================================ RESTART ================================ | |
| # >>> | |
| # Actual area: 5208.333333333333 | |
| # | |
| # Approximating using rectangular rule... | |
| # Percentage error: -0.0104123281966 % | |
| # Approximation: (5207.7910245730936, -0.010412328196596356) | |
| # | |
| # Approximating using trapezoidal rule... | |
| # Percentage error: 0.0208246563932 % | |
| # Approximation: (5209.4179508538109, 0.020824656393175246) | |
| # ############################################################# | |
| # Approximating using rectangular rule with: 15 points, percentage error: -1.5625 % | |
| # Approximating using rectangular rule with: 25 points, percentage error: -0.127551020408 % | |
| # Approximating using rectangular rule with: 35 points, percentage error: -0.0434027777778 % | |
| # 5206.07277199 | |
| # Approximating using trapezoidal rule with: 15 points, percentage error: 3.125 % | |
| # Approximating using trapezoidal rule with: 25 points, percentage error: 0.255102040816 % | |
| # Approximating using trapezoidal rule with: 35 points, percentage error: 0.0868055555556 % | |
| # Approximating using trapezoidal rule with: 45 points, percentage error: 0.0432525951557 % | |
| # 5210.58607266 | |
| # >>> |
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