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On Iterative Methods for Solving Nonlinear Equations in Quantum Calculus

delete2021-06-25
delete19
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OA
AI
G
Gul Sana
P
Pshtiwan Othman Mohammed *
D
Dong Yun Shin *
M
Muhammad Aslam Noor
M
Mohammad Oudat
DOI:10.3390/fractalfract5030060delete
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摘要

摘要

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