On systems of nonlinear equations
M. Eshaghi Gordji, A. Ebadian, M. B. Ghaemi, J. Shokri
TL;DR
This paper presents a new iterative numerical method for solving systems of nonlinear equations, demonstrating third-order convergence and efficiency through various examples.
Contribution
Introduction of a novel iterative method with proven third-order convergence for nonlinear systems.
Findings
Method achieves third-order convergence.
Numerical examples confirm efficiency.
Outperforms some existing methods.
Abstract
In this paper, we introduce an iterative numerical method to solve systems of nonlinear equations. The third-order convergence of this method is analyzed. Several examples are given to illustrate the efficiency of the proposed method.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Numerical methods for differential equations · Mathematical Biology Tumor Growth