Multi-Step Quantum Numerical Techniques for Finding the Solutions of Nonlinear Equations

Abstract

In this paper, we analyze the q-iterative schemes to determine the roots of nonlinear equations by applying the decomposition technique with Simpson’s 13-rule in the setting of q-calculus. We discuss the convergence analysis of our suggested iterative methods. To check the efficiency and performance, we also compare our main outcomes with some well known techniques existing in the literature.

Keywords

• iterative methods
• convergence analysis
• decomposition technique
• q-Taylor’s series