Numerical Solution of Non-Fredholm (Singular) Integral Equations by Matrix Inversion
- 1 February 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (2), 311-315
- https://doi.org/10.1063/1.1704934
Abstract
It is shown that the simple matrix‐inversion techniques often used in numerically solving linear integral equations with a Fredholm‐Schmidt (i.e., square‐integrable) kernel can also be employed for a wide class of non‐Fredholm (``singular'') equations. This class includes equations the kernel of which is the sum of a Fredholm‐Schmidt kernel and a kernel whose norm (in the operator sense) is less than one. In particular, the integral equations of the so‐called ``new strip approximation'' in particle dynamics belong to this class.Keywords
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