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A general family of fifth-order iterative methods for solving nonlinear equations

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dc.contributor.author Zein, Ali
dc.date.accessioned 2024-03-21T08:48:16Z
dc.date.available 2024-03-21T08:48:16Z
dc.date.issued 2023-10-30
dc.identifier.citation A. Zein, A general family of fifth-order iterative methods for solving nonlinear equations, European Journal of Pure and Applied Mathematics, 16 (4) (2023), 2323-2347. en_US
dc.identifier.uri scholar.ppu.edu/handle/123456789/9042
dc.description.abstract A family of fifth-order iterative methods is proposed for solving nonlinear equations using the weight function technique. This family offers flexibility through its structure and the choice of weight functions, resulting in a wide range of new specific schemes. It is demonstrated that this proposed family includes several well-known and recent methods as special cases. In addition, several new particular methods are designed to achieve better results than existing methods of the same type. Convergence analysis is conducted, and numerical examples in both real and complex domains are provided for several specific schemes within the proposed family. Comparisons between the existing methods within this family and the newly introduced methods generally indicate improved performance among the new members. Notably, the study of complex dynamics and basins of attraction reveals that our new specific schemes have broader sets of initial points that lead to convergence. en_US
dc.publisher European Journal of Pure and Applied Mathematics en_US
dc.relation.ispartofseries Vol. 16, No. 4, 2023, 2323-2347;
dc.subject Fifth-order method, Weight function, Basins of attraction, Efficiency index, Nonlinear equations, Iterative methods en_US
dc.title A general family of fifth-order iterative methods for solving nonlinear equations en_US
dc.type Article en_US


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