Fredholm integral equations

Solves a variety of one variable Fredholm integral equations
Updated 31 Mar 2016

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We present here a program Fie that solves numerically Fredholm integral equations of the second kind on an interval [a,b] to a specified, modest accuracy. Test programs are also included for the various cases. The program TestAll, with no input parameters, can be used to illustrate the various types of integral equations handled by Fie. The kernel function K(s,t) is to be moderately smooth on [a,b]×[a,b] except possibly across the diagonal s=t. If the interval is finite, Fie provides for kernel functions that behave in a variety of ways across the diagonal, viz. K(s,t) may be smooth, have a discontinuity in a low-order derivative, have a logarithmic singularity, or have an algebraic singularity. Fie also solves a large class of integral equations with moderately smooth kernel function on [0,\infty).
This program is a joint project between Kendall Atkinson and Larry Shampine. It is described in detail in the jointly written article
"Solving Fredholm integral equations of the second kind in Matlab", ACM Trans. Math. Software, 34 (2008), Issue 4.

Cite As

Kendall Atkinson (2024). Fredholm integral equations (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes

The earlier description did not contain an attribution to Larry Shampine nor to the article associated with the program package Fie.
Attach BSD license