Generalization of the bisection method and its applications in nonlinear equations
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of the current work is to generalize the well-known bisection method using quantum calculus approach. The results for different values of quantum parameter q are analyzed, and the rate of convergence for each q ? (0,1) is also determined. Some physical problems in engineering are resolved using the QBM technique for various values of the quantum parameter q up to three iterations to examine the validity of the method. Furthermore, it is proven that QBM is always convergent and that for each interval there exists q ? (0,1) for which the first approximation of root coincides with the precise solution of the problem.
Açıklama
Anahtar Kelimeler
Nonlinear equations, Bisection method
Kaynak
Advances in Continuous And Discrete Models
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
2023
Sayı
1
