Results 1 to 10 of about 17,673,340 (96)
Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence [PDF]
Journal of Numerical Analysis and Approximation Theory, 2021 We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used.
Ioannis K. Argyros, Santhosh George
doaj +13 more sources
Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications [PDF]
Mathematics, 2019 In this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed.
P. Chand +3 more
semanticscholar +4 more sources
Potra‐Pták Iterative Method with Memory
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 The problem is to extend the method proposed by Soleymani et al. (2012) to a method with memory. Following this aim, a free parameter is calculated using Newton’s interpolatory polynomial of the third degree. So the R‐order of convergence is increased from 4 to 6 without any new function evaluations.
Taher Lotfi +4 more
wiley +2 more sources
Adaptation of the Newton-Raphson and Potra-Pták methods for the solution of nonlinear systems
, 2021 In this paper we adapt the Newton-Raphson and Potra-Pták algorithms by combining them with the modified Newton-Raphson method by inserting a condition.
L. A. D. de Souza +2 more
semanticscholar +1 more source
Numerical‐Computational Model for Nonlinear Analysis of Frames with Semirigid Connection
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 A numerical‐computational model for static analysis of plane frames with semirigid connections and geometric nonlinear behavior is presented. The set of nonlinear equations governing the structural system is solved by the Potra–Pták method in an incremental procedure, with order of cubic convergence, combined with the linear arc‐length path‐following ...
Luiz Antonio Farani de Souza +3 more
wiley +1 more source
Physiotherapy Quarterly, 2023 Introduction. diabetic foot syndrome (dFS) is one of the most common complications of diabetes. The purpose of the study was to evaluate the distribution of superficial temperature and microcirculation in the feet of patients with type 2 diabetes ...
A. Dębiec-Bąk +5 more
semanticscholar +1 more source
Evaluation of Tire Footprint in Soil Using an Innovative 3D Scanning Method
Agriculture, 2023 This paper presents the results of the measurement of tire footprints in soil. The research was conducted under laboratory conditions using soil-filled cases. The research objects were two tires: a radial tire and a bias-ply tire of the same size.
Weronika Ptak +4 more
semanticscholar +1 more source
Animal, 2023 New traits are sought to add in breeding goals to prevent worsening health and fertility of Polish Holstein-Friesian cows. The objectives of this study were to estimate genetic parameters for body condition score (BCS) and locomotion (LOC) and their ...
W. Jagusiak +3 more
semanticscholar +1 more source
Optimization of the Electrochemical Method of Obtaining Graphene Nanoplatelets (GNPs)
Materials, 2023 Graphene nanoplatelets (GNPs) were prepared using the electrolytic exfoliation method on graphite foil in an ammonium sulfate solution. A series of experiments were conducted in order to optimize the production of the flakes by varying the pH of the ...
Adrianna Grabowska +8 more
semanticscholar +1 more source
Optimal High‐Order Methods for Solving Nonlinear Equations
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth‐order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.
S. Artidiello +4 more
wiley +1 more source