Zobrazeno 1 - 10
of 178
pro vyhledávání: '"Ramandeep Behl"'
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2785 (2024)
This article introduces a multistep method for developing sequences that solve Banach space-valued equations. It provides error estimates, a radius of convergence, and uniqueness results. Our approach improves the applicability of the recommended met
Externí odkaz:
https://doaj.org/article/422d92e8881f4cdeb8263e3b8bb89e2b
Publikováno v:
Mathematics, Vol 12, Iss 13, p 2145 (2024)
The novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a ra
Externí odkaz:
https://doaj.org/article/92981b15ccef4773af546f53309ba8f8
Publikováno v:
Mathematics, Vol 12, Iss 12, p 1919 (2024)
In this paper, we investigate the local and semilocal convergence of an iterative method for solving nonlinear systems of equations. We first establish the conditions under which these methods converge locally to the solution. Then, we extend our ana
Externí odkaz:
https://doaj.org/article/c30a541effe24ab7af0af07f649a1cd9
Publikováno v:
Symmetry, Vol 16, Iss 6, p 742 (2024)
In this study, we introduce an iterative approach exhibiting sixth-order convergence for the solution of nonlinear equations. The method attains sixth-order convergence by using three evaluations of the function and two evaluations of the first-order
Externí odkaz:
https://doaj.org/article/3f7aec0c746c46b6bee419f5b562bfaf
A One-Parameter Family of Methods with a Higher Order of Convergence for Equations in a Banach Space
Publikováno v:
Mathematics, Vol 12, Iss 9, p 1278 (2024)
The conventional approach of the local convergence analysis of an iterative method on Rm, with m a natural number, depends on Taylor series expansion. This technique often requires the calculation of high-order derivatives. However, those derivatives
Externí odkaz:
https://doaj.org/article/138c4fbbdc6a4d7397b9742397f6d459
Publikováno v:
Mathematics, Vol 12, Iss 2, p 220 (2024)
We have developed a local convergence analysis for a general scheme of high-order convergence, aiming to solve equations in Banach spaces. A priori estimates are developed based on the error distances. This way, we know in advance the number of itera
Externí odkaz:
https://doaj.org/article/10c2fc1eb11e41208e06ad81ec16695e
Publikováno v:
Mathematics, Vol 12, Iss 2, p 349 (2024)
This study investigates the effects of an unsteady mixed convection nanofluid flow in a rotating vertical cone submerged in spinning nanofluid. Our analysis considered the impacts of heat flux, chemical reactions, and thermal radiation, with the ther
Externí odkaz:
https://doaj.org/article/52f47006d1514842b6c5f07f216758c0
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4551 (2023)
Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods. There are other limitations to this approach, such as the following: the ana
Externí odkaz:
https://doaj.org/article/127152b18e104e02af2721402048d02d
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3146 (2023)
High-order iterative techniques without derivatives for multiple roots have wide-ranging applications in the following: optimization tasks, where the objective function lacks explicit derivatives or is computationally expensive to evaluate; engineeri
Externí odkaz:
https://doaj.org/article/561c4cd826154af3b493de2de1898138
Publikováno v:
Mathematical and Computational Applications, Vol 28, Iss 2, p 48 (2023)
We propose a new optimal iterative scheme without memory free from derivatives for solving non-linear equations. There are many iterative schemes existing in the literature which either diverge or fail to work when f′(x)=0. However, our proposed sc
Externí odkaz:
https://doaj.org/article/3f323edea3234fdeb0b01c452eee23e4