Open AccessAnalyzing a New Third Order Iterative Method for Solving Nonlinear Problems
Author(s) -
Muhamad Shakur Ndayawo,
B. M. Sani
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i230275
Subject(s) - iterative method , convergence (economics) , adomian decomposition method , nonlinear system , mathematics , taylor series , local convergence , series (stratigraphy) , variance (accounting) , mathematical optimization , computer science , mathematical analysis , partial differential equation , paleontology , physics , accounting , business , quantum mechanics , economics , biology , economic growth
In this paper, we propose and analyse a new iterative method for solving nonlinear equations. The method is constructed by applying Adomian method to Taylor’s series expansion. Using one-way analysis of variance (ANOVA), the method is being compared with other existing methods in terms of the number of iterations and solution to convergence between the individual methods used. Numerical examples are used in the comparison to justify the efficiency of the new iterative method.