An optimal class of fourth-order multiple-root finders of Chebyshev-Halley type and their basins of attraction Online publication date: Tue, 12-Oct-2021
by Raj Bala; Munish Kansal; Vinay Kanwar
International Journal of Computing Science and Mathematics (IJCSM), Vol. 14, No. 1, 2021
Abstract: In this paper, we propose a family of optimal fourth-order of Chebyshev-Halley type methods free from second-order derivative for finding the multiple roots. The new methods are tested and compared with other well-known methods on different academical test functions. Further, for quantitative comparison, we have also computed total number of convergent points and convergent percentages, average number of iterations per convergent points and CPU time (in seconds) along with the basins of attraction on number of test problems to recommend the best optimal fourth-order method. We also consider a concrete variety of real life problems such as the trajectory of an electron in the air gap between two parallel plates, van der Waals equation 'which explains the behaviour of a real gas' by introducing in the ideal gas equation, in order to check the applicability and effectiveness of our proposed methods.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computing Science and Mathematics (IJCSM):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook