Open AccessNew Modified Newton Type Iterative Methods
Author(s) -
Jivandhar Jnawali
Publication year - 2021
Publication title -
nepal journal of mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2738-9928
pISSN - 2738-9812
DOI - 10.3126/njmathsci.v2i1.36559
Subject(s) - newton's method , local convergence , convergence (economics) , steffensen's method , iterative method , mathematics , nonlinear system , type (biology) , variable (mathematics) , newton's method in optimization , work (physics) , computer science , mathematical optimization , algorithm , mathematical analysis , physics , ecology , quantum mechanics , economics , biology , economic growth , thermodynamics
In this work, we present two Newton type iterative methods for finding the solution of nonlinear equations of single variable. One is obtained as variant of McDougall and Wotherspoon method, and another is obtained by amalgamation of Potra and Pta’k method and our newly introduced method. The order of convergence of these methods are 1 + √2 and 3.5615. Some numerical examples are given to compare the performance of these methods with some similar existing methods.