Neumann Series (Integral Equation)
A Fredholm Integral Equation of the Second Kind
 | (1) |
 |  |  | (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.
- Neuberg Circles
- Neumann Algebra
- Neumann Boundary Conditions
- Neumann Function
- Neumann Polynomial
- Neumann Series (Bessel Function)
- Neumann Series (Integral Equation)
- Neusis Construction
- Neville's Algorithm
- Neville Theta Function
- Newcomb's Paradox
- Newman-Conway Sequence
- Newton-Cotes Formulas
- Newtonian Form
- Newton Number
- Newton-Raphson Fractal
- Newton-Raphson Method
- Newton's Backward Difference Formula
- Newton's Diverging Parabolas
- Newton's Divided Difference Interpolation Formula
- Newton's Formulas
- Newton's Forward Difference Formula
- Newton's Identities
- Newton's Iteration
- Newton's Method