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Efficient non-iterative multi-point method for solving the Riemann problem
In computational fluid dynamics (CFD), the Riemann problem is vital for precise fluid flow calculations as it involves the accurate computation of...
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An Optimal Fourth-Order Iterative Method for Multiple Roots of Nonlinear Equations
In this paper, we are presenting an iterative scheme for solving nonlinear equations having multiple roots. The newly developed scheme is an... -
New Derivative-Free Families of Four-Parametric with and Without Memory Iterative Methods for Nonlinear Equations
In this paper, we develop new derivative-free four-parametric families of with and without memory iterative methods for determining the roots of... -
An Accelerated Iterative Method to Find the Sign of a Nonsingular Matrix with Quartical Convergence
The function of matrix sign is one of the most significant functions of matrices with several applications. The target of this work is to propose a...
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Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations
There is a few number of optimal fourth-order iterative methods for obtaining the multiple roots of nonlinear equations. But, in most of the earlier...
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Widening basins of attraction of optimal iterative methods
In this work, we analyze the dynamical behavior on quadratic polynomials of a class of derivative-free optimal parametric iterative methods, designed...
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Ball Convergence of a Sixth Order Iterative Method
We present a local convergence analysis of a sixth order iterative method for approximate a locally unique solution of an equation defined on the...