Double Integration by Simpson's Rule | Programming Numerical Methods in MATLAB

Find this method and many more with code files on this webpage: mechtutor.thin...
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In this tutorial, the method and MATLAB coding of the double integration by using Simpson's 1/3 rule of numerical integration is explained with examples. For more methods and codes:
*** More Numerical Methods in Python are in online course: www.udemy.com/...
Credits:
Music: Title:"Electronic Motivational Music Loop", source: www.orangefrees...

[@omrezkhan6214]

explain with concept , so coding makes understanding easier, thanks.

[@KIMNEG]

Great! Easily explained. Thanks very much

[@yuuwongki5209]

Your video is so great and helpful! So clearly! Thank you so much

[@ESEben10]

great lesson! And do you heve a video about double integral with trapezoidal rule?

[@AJ-et3vf]

Awesome video! Thank you!

[@thevikumedirisinghe442]

great you explained it easily.Thank you very much sir.

[@mohamedelgabaili9343]

Good job Mr. Murad

[@deepanshuchaudhary9759]

Thankyou very much sir!! It proved to be very helpful. How can we plot a graph in this??

[@mechtutorcom]

You're welcome. I plotted it by using Octave function surf(x,y,z). I add the red dots and symbols and other lines manually by using Paint which comes with Windows.

[@ienphan383]

Thank you sir!

[@asifmahmoud126]

Sir how would we use a loop if we were given multiple values of n and were asked to calculate the integral for each of those n in a single script?

[@youcefamara5542]

Very accurate method of integration! I have a question : what is the advantage compared to pre-established functions in Matlab? like: int2. Thank you sir.

[@mechtutorcom]

Thank you Youcef for the comment and question. This tutorial, like other tutorials in this channel, is educational and introduces the basic steps of the numerical method for students and professionals who study or interested in the programming of the method. On the other hand, the MATLAB library functions, such as int and int2, are more reliable for practical applications because they offer more options and are faster in execution due to pre-compiled codes they use. The only advantage of the open code in these tutorials is that they can be modified by users for more specific applications as required.

[@tiagovla]

Thanks sir!

[@deepanshuchaudhary9759]

Sir, is there any other program wherein we can put the limits of x in terms of y. Because this program is like taking integration two times and multiplying.

[@mechtutorcom]

This program of double integration can be modified so that the limit set as an inline function. Two important things: (1) Since the limit is a function of y, the y values loop should be outside and x loop inside so limits are calculated for each y. (2) Values of hx should be calculated inside the outer loop of y because the limit function of y will be used to find hx at each y. If the a limit function of x, the same procedure will be applied but in opposite order.

[@arnon85]

Can you reupload the code pls?

[@leonardocabrera9253]

where is the code??

[@akashrawat3160]

nice