Integration of discrete data which have a non-linear relationship

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J.S. 2018-6-11

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https://ww2.mathworks.cn/matlabcentral/answers/405154-integration-of-discrete-data-which-have-a-non-linear-relationship

回答： Anton Semechko 2018-6-12

In the https://www.mathworks.com/help/matlab/math/integration-of-numeric-data.html documentation page, it is noted that non-linear behavior between the discrete data points being integrated could result in inaccuracy when trapz is used. Is there a better function call to use for such an instance, instead?

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Answer 1

Anton Semechko 2018-6-12

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https://ww2.mathworks.cn/matlabcentral/answers/405154-integration-of-discrete-data-which-have-a-non-linear-relationship#answer_324245

Numerical integration based on Simpson's rule provides greater accuracy than integration using trapezoidal rule. Here is an implementation of Simpson's rule from Matlab's Central File Exchange: Simpson's rule for numerical integration