How to avoid Singularity in numirical integration
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ABDEL MOUMEN
am 27 Nov. 2019
Kommentiert: ABDEL MOUMEN
am 26 Mär. 2020
I want to numerically integrate the following with Matlab:
fun=@(t) (((1 - (-1)^n*cos(n*pi*t/R)))./t);
hn = integral(fun,0,(sqrt(R^2-x^2)));
For now, I just avoided to evaluate the integral in 0, are they any way to encounter the singularity at this point.
Thank you.
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Raynier Suresh
am 24 Mär. 2020
The “quadgk” function can handle singularity if the singularity is present at the boundary. In case if your singularity is not at the boundary you can split the integration domain to place the singularity at the boundary. Refer to the below links for more information,
Split integration domain: https://www.mathworks.com/help/matlab/math/singularity-on-interior-of-integration-domain.html
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