Enclosing Solutions of Integral Equations

Kaj Madsen, Ole NA NA NA Caprani, Ole Stauning

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    We present a method for enclosing the solution of an integral equation. It is assumed that a solution exists and that the corresponding integral operator T is a contraction near y. When solving the integral equation by iteration we obtain a result which is normally different from y because of roundoff errors, truncation errors, and the fact that we only do a finite number of iterations. The purpose of this method is to find a narrow interval of functions that is guaranteed to contain y.
    Original languageEnglish
    Number of pages19
    Publication statusPublished - 1996

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