Solving nonlinear integral equation

MST
2014 12 8
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I need to solve this integral equation:
H(i),P, and W are unknowns. I want to use trapezoidal rule for integral and then solve the nonlinear algebraic equations with Newtonian method.I don't know how should I calculate Jacobian matrix.I read that the derivative H' is calculated at midpoints. I really appreciate your help.

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MST
MST
2014-12-8

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