Computing narrow inclusions for the solution of integral equations
H. J. Dobner · Numerical Functional Analysis and Optimization · 1989
Interval analysis in connection with modified fixed point theorems is applied to compute close and guaranteed error bounds for he solution of Fredholm and Volterra integral equations of the second kind. The bounds can be obtained automatically by employing interval tools and using inclusions of the kernels and inhomogeneities. The theory of interval analysis is sketched briefly, then Fredholm and Volterra equations aretreated. At last some numerical examples are given.