Software for calculating eigenvalues and eigenfunctions of an integral operator

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SUMMARY

Free software options for calculating eigenvalues and normalized eigenfunctions of linear integral operators include SciPy, Octave, and Matlab. These tools are particularly useful for solving Fredholm integral equations with degenerate kernels. Each software has distinct advantages and disadvantages, necessitating thorough research before selection. Tutorials and online courses are available to enhance understanding and usage of these programs.

PREREQUISITES
  • Understanding of linear integral operators
  • Familiarity with Fredholm integral equations
  • Basic knowledge of programming in Python (for SciPy) or Octave
  • Experience with Matlab for numerical computations
NEXT STEPS
  • Research SciPy's capabilities for eigenvalue calculations
  • Explore Octave's syntax and functions for integral equations
  • Learn about Matlab's built-in functions for solving Fredholm equations
  • Find online tutorials for practical applications of these software tools
USEFUL FOR

Mathematicians, physicists, and engineers working on integral equations, as well as students and researchers seeking to solve eigenvalue problems using computational tools.

sarrah1
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Hi

can someone direct me to a free software to calculate eigenvalues and normalized eigenfunctions of a linear integral operator. I am trying to solve a fredholm integral equation with degenerate kernel using it instead of linear equations

thanks

sarrah
 
Physics news on Phys.org
There are a few different free software programs available for calculating eigenvalues and normalized eigenfunctions of a linear integral operator. Some of the most popular ones include SciPy, Octave, and Matlab. Each one has its own advantages and disadvantages so it is important to research each option before making a decision. Additionally, you may be able to find tutorials or online courses that provide instruction on using these programs.
 

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