On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus

Quantum calculus (also known as the q-calculus) is a technique that similar to traditional calculus, but focuses on concept of deriving q-analogous results without use limits. In this paper, we suggest and analyze some new q-iterative methods by using q-analogue Taylor’s series coupled system technique. domain q-calculus, determine convergence our proposed q-algorithms. Numerical examples demonstrate can generate solutions nonlinear equations with acceptable accuracy. These newly established also exhibit predictability. Furthermore, an analogy settled between well classical q-Iterative methods.