Generalization of the bisection method and its applications in nonlinear equations
CC BY
Lưu vào:
| Tác giả chính: | , , |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Nhà xuất bản: |
Springer
2023
|
| Chủ đề: | |
| Truy cập trực tuyến: | https://link.springer.com/article/10.1186/s13662-023-03765-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7539 |
| Từ khóa: |
Thêm từ khóa
Không có từ khóa, Hãy là người đầu tiên đánh dấu biểu ghi này!
|
| id |
oai:localhost:PNK-7539 |
|---|---|
| record_format |
dspace |
| 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 |
8.891695 |