Enclosing Solutions of Integral Equations

Ole Caprani, Kaj Madsen and Ole Stauning

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A method to enclose the solution of an integral equation of the Fredholm type is presented. The enclosure is based on an interval mean value extension of the integral operator T for which y=T(y) and y is a solution. If T is a contraction near y then the method is proven to converge for appropriate initial conditions. If the region specified by the user does not contain any solution, then the method may be able to disprove the existence of solutions in this region. The performance of the algorithm is demonstrated by numerical examples.

IMM Technical Report 19/96

Last modified August 21, 1996
Finn Kuno Christensen

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