The solution of-chaper4-nonlinear equation of numerical Methods

In many production-time problems, we tend to list a unary nonlinear equation based on known conditions, and one of the most typical examples is the problem of bank deposits, since their interest needs to be based on the principal and the previous year, so the index of the equation x is often higher. There is a series of nonlinear equations derived from the differential equation in the physical problem. Therefore, how to solve one-dimensional nonlinear equation is one of the important problems in computational mathematics.

Newton's Method:

Newton's method can be derived from Taylor's theorem:

Unfortunately, the simple Newton method is not used in all cases, the following gives a more accurate drawing using Newton iterative Final Solution:

The solution of-chaper4-nonlinear equation of numerical Methods