Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Vinay Kanwar"'
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1635 (2023)
This article introduces a computational hybrid one-step technique designed for solving initial value differential systems of a first order, which utilizes second derivative function evaluations. The method incorporates three intra-step symmetric poin
Externí odkaz:
https://doaj.org/article/55ddcd90d2e442fc81057e0f5ea4829d
Publikováno v:
Mathematical and Computational Applications, Vol 28, Iss 2, p 45 (2023)
In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the fixed points of contractive type mappings. The presence of an arbitrary parameter in the proposed family increases its interval of convergence. Fu
Externí odkaz:
https://doaj.org/article/1418b4632fe74ea9afcf7ade111428ec
Publikováno v:
Algorithms, Vol 16, Iss 3, p 156 (2023)
In this paper, we present a new third-order family of iterative methods in order to compute the multiple roots of nonlinear equations when the multiplicity (m≥1) is known in advance. There is a plethora of third-order point-to-point methods, availa
Externí odkaz:
https://doaj.org/article/3c8e380154304b5c9aed24fb4af43ba0
Publikováno v:
Mathematical Modelling and Analysis, Vol 24, Iss 3 (2019)
In this paper, we present many new one-parameter families of classical Rall’s method (modified Newton’s method), Schröder’s method, Halley’s method and super-Halley method for the first time which will converge even though the guess is far a
Externí odkaz:
https://doaj.org/article/45400159f864480ca9da7c4657b6cbbd
Autor:
Vinay Kanwar, Puneet Sharma, Ioannis K. Argyros, Ramandeep Behl, Christopher Argyros, Ali Ahmadian, Mehdi Salimi
Publikováno v:
Mathematics, Vol 9, Iss 6, p 694 (2021)
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line. The presence of an arbitr
Externí odkaz:
https://doaj.org/article/c43a58561c21486fa34ae1831220824e
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 47, Iss 2 (2018)
We present a local convergence analysis of an eighth-order Aitken-Newton method for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the eighth derivative
Externí odkaz:
https://doaj.org/article/5ba6d5bf36e548f7a288768abdaf9ebe
Publikováno v:
Algorithms, Vol 8, Iss 2, Pp 309-320 (2015)
In this paper, we present a new three-step derivative-free family based on Potra-Pták’s method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluation
Externí odkaz:
https://doaj.org/article/458e5d32c17d4be18a3e02500cdce320
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Externí odkaz:
https://doaj.org/article/512644a2aab94777981204082ef4dec3
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)
One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper. These methods are derived by implementing approximations through a straig
Externí odkaz:
https://doaj.org/article/d00bdce35d8c4488b3fd886cb000cfd1
Publikováno v:
Journal of Computational and Applied Mathematics. 430:115242
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6fdbe16e042b993a64d8ebdf080b87f7
https://doi.org/10.1016/j.cam.2023.115242
https://doi.org/10.1016/j.cam.2023.115242