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Generalization of the bisection method and its applications in nonlinear equations

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Bibliographic Details
Main Authors: Ghazala, Gulshan, Hüseyin, Budak, Rashida, Hussain
Format: Book
Language:English
Published: Springer 2023
Subjects:
QBM technique
Online Access:https://link.springer.com/article/10.1186/s13662-023-03765-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7539
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spelling oai:localhost:PNK-75392023-04-05T03:16:21Z Generalization of the bisection method and its applications in nonlinear equations Ghazala, Gulshan Hüseyin, Budak Rashida, Hussain QBM technique CC BY 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. 2023-04-05T03:16:21Z 2023-04-05T03:16:21Z 2023 Book https://link.springer.com/article/10.1186/s13662-023-03765-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7539 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic QBM technique
spellingShingle QBM technique
Ghazala, Gulshan
Hüseyin, Budak
Rashida, Hussain
Generalization of the bisection method and its applications in nonlinear equations
description CC BY
format Book
author Ghazala, Gulshan
Hüseyin, Budak
Rashida, Hussain
author_facet Ghazala, Gulshan
Hüseyin, Budak
Rashida, Hussain
author_sort Ghazala, Gulshan
title Generalization of the bisection method and its applications in nonlinear equations
title_short Generalization of the bisection method and its applications in nonlinear equations
title_full Generalization of the bisection method and its applications in nonlinear equations
title_fullStr Generalization of the bisection method and its applications in nonlinear equations
title_full_unstemmed Generalization of the bisection method and its applications in nonlinear equations
title_sort generalization of the bisection method and its applications in nonlinear equations
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1186/s13662-023-03765-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7539
_version_ 1762365500120104960
score 8.8894005

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