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Date: 30-5-2018
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Date: 23-12-2018
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Date: 30-5-2018
668
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A Fredholm integral equation of the second kind
(1) |
may be solved as follows. Take
(2) |
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(3) |
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(4) |
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(5) |
where
(6) |
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(7) |
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(8) |
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(9) |
The Neumann series solution is then
(10) |
REFERENCES:
Arfken, G. "Neumann Series, Separable (Degenerate) Kernels." §16.3 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 879-890, 1985.
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