In this paper, we analyze the q-iterative schemes to determine the roots of nonlinear equations by applying the decomposition technique with Simpson’s 1/3-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.

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

Cesarano C
2022-01-01

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 1/3-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.
2022
iterative methods
convergence analysis
decomposition technique
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1773
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