Software for fredholm determinant

In summary, there are a few ways to approach calculating the eigenvalues of a system of 3 simultaneous Fredholm linear integral equations with degenerate kernels. You can use built-in functions in Matlab or Mathematica, write your own code, or search for existing code or algorithms online.
  • #1
math771
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Hi there,

There are a few ways you could approach this problem. One option is to use the built-in functions in Matlab or Mathematica for solving linear algebra problems. Both programs have functions for calculating eigenvalues and solving linear systems of equations.

Another option is to write your own code using the Fredholm integral equations and solving for the eigenvalues. This could be a bit more involved, but it would give you more control over the process and allow you to tailor it to your specific problem.

You could also try searching for existing code or algorithms online that are specifically designed for solving Fredholm integral equations with degenerate kernels. This could potentially save you some time and effort in writing your own code.

Hope this helps and good luck with your calculations!
 
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  • #2
Hi

I wish to calculate the eigenvalues of a system of 3 simultaneous Fredholm linear integral equations all with degenerate kernels. is there a code in Matlab for that or Mathematica. Or perhaps I can calculate Fredholm determinants and then its eigenvalues
grateful

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I forget to tell you they are Fredholm 2nd kind
 
  • #3
I noticed that in Mathematica 11, they have included some functions for Fredholm and Volterra integral equations. You might check those out.
 

FAQ: Software for fredholm determinant

What is software for Fredholm determinant?

Software for Fredholm determinant is a computer program that is designed to perform numerical computations related to the Fredholm determinant, which is a mathematical concept used in the study of integral equations.

How does software for Fredholm determinant work?

The software uses algorithms and mathematical formulas to calculate the Fredholm determinant for a given integral equation. It typically takes the input of the integral equation and its limits of integration, and then performs the necessary calculations to output the Fredholm determinant.

What are the applications of software for Fredholm determinant?

Software for Fredholm determinant is useful in a variety of fields, including physics, engineering, and mathematics. It can be used to solve integral equations and to analyze the behavior of systems described by these equations. It is also used in numerical analysis and the study of boundary value problems.

Is software for Fredholm determinant difficult to use?

The level of difficulty in using software for Fredholm determinant depends on the user's familiarity with mathematical concepts and programming. For those with a strong background in mathematics and programming, the software may be easy to use. However, for those with little to no experience, it may require some learning and practice to use effectively.

Are there different types of software for Fredholm determinant?

Yes, there are various software programs available for calculating the Fredholm determinant. Some are general-purpose mathematical software packages that include the functionality for performing these calculations, while others are specifically designed for integral equations and related problems. The choice of software depends on the user's needs and preferences.

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