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sara_87
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Homework Statement
If I have a non linear integral equation of the form:
[tex]y(s)+\int^x_0{K(x,s,y(s)}ds=f(x)[/tex]
and i want to find a way to solve this numerically using the Newton method
Homework Equations
The Attempt at a Solution
after discretizing, and using the quadrature rule, i have:
[tex]y(s_i)+\sum^i_{j=0}{w_j K(x_i,s_j,y(s_j)}ds=f(x_i)[/tex]
but i am struggling on knowing what the weights wj should be using the Newton procedure.
Thank you in advance.