A Quartically Convergent Jarratt-Type Method for Nonlinear System of Equations

Abstract

In this work, we propose a new fourth-order Jarratt-type method for solving systems of nonlinear equations. The local convergence order of the method is proven analytically. Finally, we validate our results via some numerical experiments including an application to the Chandrashekar integral equations.

Keywords

• iterative methods
• Fréchet
• systems of nonlinear equations
• Chandrashekar integral equations