Extension of the double Newton's method Convergence Order via the Bi-variate power series weight function for Solving Nonlinear Models.

Ogbereyivwe, Oghovese; Ogumeyo, Simon Ajiroghene

doi:10.30495/maca.2022.1954323.1052

Extension of the double Newton's method Convergence Order via the Bi-variate power series weight function for Solving Nonlinear Models.

https://doi.org/10.30495/maca.2022.1954323.1052

Volume 4, Issue 3
Spring 2022

Pages 35-46

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Oghovese Ogbereyivwe

Simon Ajiroghene Ogumeyo

Delta State University of Science and Technology, Ozoro, Nigeria

Abstract

This manuscript put forward one and two-parameter families of modified double Newton iterative structure with convergence order six, for approximation of the solution of nonlinear model. The modification technique involves the introduction of quotient of two converging bi-variate Power series based weight function to the second step of the double Newton's method. Some particular members of the developed methods have experimented on some physical phenomena modeled into nonlinear equations and results compared with some existing methods.

Keywords

Nonlinear model

Newton’s method

bi-variate power series

weight function