Articulo Revista Indexada
Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications
Registro en:
Chand, P.B.; Chicharro, F.I.; Garrido, N.; Jain, P. Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications. Mathematics 2019, 7, 942.
2227-7390
Autor
Chand, Prem Bahadur
Chicharro, Francisco Israel (1)
Garrido, Neus
Jain, Pankaj
Institución
Resumen
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 tested on some numerical examples, and the results are compared with some known methods of the corresponding order. It is proved that the results obtained from the proposed methods are compatible with other methods. The proposed methods are tested on some problems related to engineering and science. Furthermore, applying these methods on quadratic and cubic polynomials, their stability is analyzed by means of their basins of attraction.