  The iterative problem of solving nonlinear equations is studied. A new Newton
like iterative method with adjustable parameters is designed based on the
dynamic system theory. In order to avoid the derivative function in the
iterative scheme, the difference quotient is used instead of the derivative.
Different from the existing methods, the difference quotient scheme in this
paper has higher accuracy. Thus, the new iterative method is suitable for a
wider range of initial values. Finally, several numerical examples are given to
verify the practicability and superiority of the method.
