Verwoerd, W2007-12-112007Verwoerd, W. (2007). Closed form solution of an exponential kernel integral equation. Journal of Mathematics, Statistics and Allied Fields, 1(2).1556-6757https://hdl.handle.net/10182/202In this note a Fredholm integral equation of the first kind with exponential expressions for the kernel and right hand side is considered. The task of finding a practically usable solution to such an equation may need more effort than following a standard procedure, even when such a procedure yields a formal solution. An apparently elegant solution as an orthogonal polynomial expansion is obtained using the standard method based on transformation to a form where the kernel is an orthogonal polynomial generating function, but this is of limited use due to slow convergence. It is shown that this can nevertheless be transformed into a closed form solution that is computationally efficient.pp.1-5enintegral equationJournal ArticleMarsden::230000 Mathematical SciencesANZSRC::4901 Applied mathematics