Algorithm 876: Solving Fredholm integral equations of the second kind in MATLAB

We present here the algorithms and user interface of a MATLAB program, Fie, that solves numerically Fredholm integral equations of the second kind on an interval [a, b] to a specified, modest accuracy. The kernel function K(s, t) is moderately smooth on [a, b] x [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, that is, 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,infinity).