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

Kamsing Nonlaopon, Awais Gul Khan, Farah Ameen, Muhammad Uzair Awan and Clemente Cesarano
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Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Awais Gul Khan: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Farah Ameen: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Muhammad Uzair Awan: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

Mathematics, 2022, vol. 10, issue 15, 1-17

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.

Keywords: iterative methods; convergence analysis; decomposition technique; q-Taylor’s series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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