Numerical Integration with Matlab - Solve K33, K11 Integral

In summary, numerical integration in Matlab is a method for approximating the value of an integral using numerical techniques. It is useful for solving problems that cannot be solved analytically. To use Matlab for solving integrals, the "integral" function can be used with the integrand and limits of integration as inputs. The accuracy of numerical integration in Matlab depends on the method and number of intervals used. Matlab also has built-in functions for multidimensional integrals, such as "dblquad" and "triplequad". However, there are limitations to using numerical integration in Matlab, such as the possibility of not getting an exact solution and the need for a well-behaved integrand.
  • #1
chenrim
17
0
Hi all,

i need help solving the following integral using Matlab:

upload_2016-5-7_13-21-17.png


* tetam is a parameter and the integration is by alpha.
the answer should be function of tetam
* K33, K11 are constantsThanks ,

Chen
 
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  • #2
Have a look at the quadgk and integral functions.
 

FAQ: Numerical Integration with Matlab - Solve K33, K11 Integral

What is numerical integration in Matlab?

Numerical integration in Matlab is a method used to approximate the value of an integral (a definite or indefinite integral) by using numerical techniques. It is a useful tool for solving mathematical problems that cannot be solved analytically.

How do I use Matlab to solve the K33, K11 integral?

To solve the K33, K11 integral in Matlab, you can use the "integral" function. This function takes in the integrand (the function within the integral) and the limits of integration as inputs and returns the approximate value of the integral.

What is the accuracy of numerical integration in Matlab?

The accuracy of numerical integration in Matlab depends on the method used and the number of intervals (or steps) used to approximate the integral. Generally, the more intervals used, the more accurate the result will be.

Can I use numerical integration in Matlab for multidimensional integrals?

Yes, Matlab has built-in functions for multidimensional numerical integration, such as "dblquad" for double integrals and "triplequad" for triple integrals. These functions work in a similar way to the "integral" function, but with additional inputs for the extra dimensions.

Are there any limitations to using numerical integration in Matlab?

One limitation of numerical integration in Matlab is that it may not always provide an exact solution. It is an approximation method and the accuracy depends on the chosen method and number of intervals. Additionally, the integrand must be well-behaved and not too complex for the method to work effectively.

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