Using Gaussian quadrature: a
test
program for the integral equation program DIEGAU, some
data
for it and the resulting
output.The following software packages are upgrades of the programs that were first
discussed in the article
K. Atkinson, An automatic program for Fredholm
linear integral equations of the second kind,
ACM
Transactions on Mathematical Software
2 (1976), pp. 154-171.
Both programs are based on the Nyström
method.
Using Gaussian quadrature: a
test
program for the integral equation program DIEGAU, some
data
for it and the resulting
output.
Using Simpson's rule: a
test
program for the integral equation program DIESMP, some
data
for it and the resulting
output.
In addition, a MATLAB code Fie for solving a larger class of Fredholm integral equations of the second kind is described in the article
Kendall E. Atkinson and Larry Shampine: Solving Fredholm integral equations of the second kind in MATLAB, ACM Transactions on Mathematical Software, 34 (2008), article #21 (20 pages), DOI: 10.1145/1377596.1377601.
In addition to dealing with smooth kernel functions, we also give methods for kernel functions with various kinds of singularity along the diagonal and for integral equations over an infinite interval.
The accompanying program package for Fie is available at http://homepage.divms.uiowa.edu/~atkinson/ftp/Fie.package.