Family of Optimal Eighth-Order of Convergence for Solving Nonlinear Equations

Journal Article

• نوع عمل المنشور: graduation project
• رابط المنشور على الويب: Family of Optimal Eighth-Order of Convergence for Solving Nonlinear Equations
• المجلة \ الصحيفة: Journal of Progressive Research in Mathematics
• الصفحات: 393-398

مستخلص المنشور

Abstract: In this paper, a new family of optimal eighth-order iterative methods are presented. The new family is developed by combining Traub-Ostrowski’s fourth-order method adding Newton’s method as a third step and using the forward divided difference and three real-valued functions in the third step to reduce the number of function evaluations. We employed several numerical comparisons to demonstrate the performance of the proposed method.