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The Computer Journal 1964 7(2):141-148; doi:10.1093/comjnl/7.2.141
© 1964 by British Computer Society
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Numerical solution of Fredholm integral equations of first kind

C. T. H. Baker, L. Fox, D. F. Mayers and K. Wright *

Oxford University, Computing Laboratory, 9 South Parks Road, Oxford, UK

The solution of Fredholm integral equations of the first kind is considered in terms of a linear combination of eigenfunctions of the kernel. Practical and theoretical difficulties appear when any corresponding eigenvalue is very small, and ‘practical’ solutions are obtained which exclude the ‘small’ eigensolutions and which are exact for a slightly perturbed integral equation. Methods are discussed for simplifying the computation of the relevant eigensolutions, and four numerical examples are treated in detail.


* Oxford University Computing Laboratory, 9 South Parks Road, Oxford.


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