Listar por autor "Jain, Pankaj"

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Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications

Chand, Prem Bahadur; Chicharro, Francisco Israel ; Garrido, Neus; Jain, Pankaj (MDPIMathematics, 11/10/2019)

In this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are ...
On the design and analysis of high order Weerakoon-Fernando methods based on weight functions

Chand, Prem Bahadur; Chicharro, Francisco Israel ; Jain, Pankaj (Computational and Mathematical Methods, 18/06/2020)

In this article, using the idea of weight functions on Weerakoon‐Fernando's method, an optimal fourth‐order method and some higher order multipoint methods for solving nonlinear equations are proposed. These methods are ...
Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics

Chand, Prem Bahadur; Chicharro, Francisco Israel ; Jain, Pankaj; Sethi, Kriti (Mediterranean Journal of Mathematics, 16/04/2019)

In this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equations, where the multiplicity is known in advance. These methods are based on the third-order method given by Weerakoon ...