Articulo Revista Indexada
A new efficient parametric family of iterative methods for solving nonlinear systems
Registro en:
Francisco I. Chicharro, Alicia Cordero, Neus Garrido & Juan R. Torregrosa (2019) A new efficient parametric family of iterative methods for solving nonlinear systems, Journal of Difference Equations and Applications,
1563-5120
Autor
Chicharro, Francisco Israel (1)
Cordero, Alicia
Garrido, Neus
Torregrosa, Juan Ramón
Institución
Resumen
A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational efficiency indices are studied for this family and compared with that of the other known schemes with similar structure. In the numerical section, we solve, after discretizating, the nonlinear boundary problem described by the Fisher's equation. This numerical example confirms the theoretical results and show the performance of the proposed schemes.