arXiv:2211.03268 Abstract | arXiv Analytics

arXiv:2211.03268 [math.NA]Abstract References Reviews Resources

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

Published 2022-11-07Version 1

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.

Comments: 7pages

Categories: math.NA, cs.NA

Keywords: solving nonlinear equations, iterative method, dynamical systems, derivative, difference quotient scheme

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