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单词 Neumann Series (Integral Equation)
释义

Neumann Series (Integral Equation)

A Fredholm Integral Equation of the Second Kind

(1)

may be solved as follows. Take


(2)
(3)
(4)
(5)

where


(6)
(7)
(8)
(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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