2D trapezoidal rule

Calculates a double integral using trapezoidal rule.

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This is a very simple program that makes use of Matlab's trapz (single integral). It has the benefit that it can be used to integrate over vectors x, y, and the function f(x,y), rather than on lower and upper limits. It can also be used with nonuniform spacing at the input vectors.

Example of nonuniform spacing:
x=[0,.1,.3,.45,.6,.8,.99,1]
y=[0,.05,.1,.2,.7,.57,.92,1]

Cite As

Mohammed Sadeq Al-Rawi (2026). 2D trapezoidal rule (https://www.mathworks.com/matlabcentral/fileexchange/40631-2d-trapezoidal-rule), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired: 3D Trapezoidal Rule

Categories

Find more on Thermodynamics & Statistical Physics in Help Center and MATLAB Answers

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.8.0.0

Considering the suggestion
% Richard Crozier http://www.mathworks.com/matlabcentral/fileexchange/authors/34660

Thanks Richard :)

1.7.0.0

A simple correction to the example.

1.6.0.0

Modification so that the input matrix is MxN rather than NxN.

1.5.0.0

Adding one extra tag, keyword.

1.4.0.0

Adding one line to the code.

1.3.0.0

Description change.

1.2.0.0

Doing corrections to the comments.

1.1.0.0

Correcting the description.

1.0.0.0