Nonlinear

Consider that we are finding a solution for a nonlinear equation: $f(u) = 0$. The Newton-Raphson (N-R) iterative scheme is as follows: Iteration 0: select an initial guess $u_{0}$ for the solution, see Figure 1. Iteration 1: calculate the value of $f$ at $u_{0}$: $f(u_{0})$, and the value of the first order derivative of $f$ … Read more