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Title Development of Derivative Free Iterative Methods With Memory for Nonlinear System

Author(s) Farhan Khaild

Abstract In this research, three new three-step derivative-free methods are developed for solving system of nonlinear equations. Two of them are memory methods of convergence order 8.36 and 10, and the third method without memory is of convergence order 8. An inverse first-order divided di¤erence operator for multivariable functions is applied to prove the local convergence orders of these methods. Numerical results are provided to support the theoretical conclusions. The comparison with some known methods in the literature shows that the proposed methods are numerically efficient as compared to these methods.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2023-10-18

Subject Mathematics

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