Optimization bisection technique : By using quantum calculus approach
Inderjeetyadavinderjeet386@gmail.comUniversity School of Basic and Applied SciencesGuru Gobind Singh Indraprastha UniversityDwarka, Delhi, 110078, IndiaView full profile → , *Rashmi BhardwajCorresponding authorrashmib@ipu.ac.inUniversity School of Basic and Applied SciencesGuru Gobind Singh Indraprastha UniversityDwarka, Delhi, 110078, India0000-0002-0502-762XView full profile →
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- Received:
- 02 Jun 2025
- Published Online:
- 06 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2180
- Pages:
- 2651–2657
Abstract
This paper presents a numerical simulation approach for solving nonlinear equations using a quantum Bisection Optimization technique. We propose an enhanced version of Bisection technique based on quantum calculus optimization. The results are analyzed for different values of quantum parameter, q, & rate of convergence is determined for every q ∈ (0, 1). Additionally, it is demonstrated that the modified method is always convergent and for each interval there exists q ∈ (0, 1) for which the exact solution to the problem and first approximation of the root coincides. This study highlights the potential of the modified Bisection optimization method as a valuable tool for simulating and solving complex nonlinear problems encountered in science and engineering applications.
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References
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