Abstract
Two numerical methods for solving Fredholm integral equations of the first kind are examined, namely, a direct quadrature method and a boundary‐integral method. These methods are tested out on integral equations with a range of kernels. A regularization technique which replaces ill‐posed equations of the first kind by well‐posed equations of the second kind was employed to produce meaningful results for comparison purposes. In this way orders of error are computed for the various methods and conclusions are drawn. This investigation should prove helpful in the classroom to students studying the numerical solution of integral equations.
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