Some new numerical schemes for finding the solutions to nonlinear equations

Abstract

We introduce a sequence of third and fourth-order iterative schemes for finding the roots of nonlinear equations by using the decomposition technique and Simpson's one-third rule. We also discuss the convergence analysis of our suggested iterative schemes. With the help of different numerical examples, we demonstrate the validity, efficiency and implementation of our proposed schemes.

Keywords

• convergence analysis
• iterative method
• decomposition technique
• simpson's one-third rule