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

Newton Like Iterative Method without Derivative for Solving Nonlinear Equations Based on Dynamical Systems