plot a graph showing the convergence of a Integral versus the number of sample points used.

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Use Simpson's rule to evaluate the integral of sinx^3 from 0 to 2pi, and plot the convergence of the integral versus the number of sample points used

채택된 답변

Gautham Sholingar
Gautham Sholingar 2017년 5월 15일
편집: Gautham Sholingar 2017년 5월 15일
The following example on file exchange (MATLAB Central) is one implementation of the Simpson's rule integration:
After you download the function, add it to your path and run the following code snippet:
numSamplePoints = 1000;
I = zeros(numSamplePoints,1);
for samplePoints = 1:numSamplePoints
% samplePoints
I(samplePoints) = simpsons(@(x)sin(x.^3),0,2*pi,samplePoints);
end
plot(1:samplePoints,I);
This will give you a plot showing the convergence of the integral vs. the number of samples used for the integration as shown below:

추가 답변 (1개)

Ali Haider
Ali Haider 2022년 4월 13일
write the code to draw convergence curve and draw it?

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