Results 1 to 10 of about 166,516 (140)

The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces

Fixed Point Theory and Applications, 2008
The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde
Zhiqun Xue
doaj   +3 more sources

On the numerical Picard iterations with collocations for the initial value problem

Journal of Numerical Analysis and Approximation Theory, 2019
Some variants of the numerical Picard iterations method are presented to solve an IVP for an ordinary differential system. The term "numerical" emphasizes that a numerical solution is computed.
Ernest Scheiber
doaj   +7 more sources

Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces

Arab Journal of Mathematical Sciences, 2019
We approximate the fixed points of contraction mappings using the Picard–Krasnoselskii hybrid iterative process, which is known to converge faster than all of Picard, Mann and Ishikawa iterations in complex valued Banach spaces.
Godwin Amechi Okeke
doaj   +1 more source

An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities

Mathematics, 2021
We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main
Ravi P. Agarwal, Mohamed Jleli, Bessem Samet   +2 more
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Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces

Journal of Mathematics, 2016
This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab, R. O. Olawuyi, K. Rauf, I. F. Usamot   +3 more
doaj   +1 more source

ANALYSIS OF MODIFIED PASSIVE SAFETY SYSTEM IN FAST RECTORS TRANSIENTS [PDF]

EPJ Web of Conferences, 2021
The Autonomous Reactivity Control (ARC) system is a passive safety system aiming to provide an additional negative reactivity feedback during reactor transient scenarios.
Oggioni Carlo, Keckler Chris, Fratoni Massimiliano   +2 more
doaj   +1 more source

On the Existence and Uniqueness of Solutions for Multidimensional Fractional Stochastic Differential Equations with Variable Order

Mathematics, 2021
Fractional stochastic differential equations are still in their infancy. Based on some existing results, the main difficulties here are how to deal with those equations if the fractional order is varying with time and how to confirm the existence of ...
Seyfeddine Moualkia, Yong Xu
doaj   +1 more source

Finite Element Simulation of Thermo-Mechanical Model with Phase Change

Computation, 2021
In this work, we consider a mathematical model and finite element implementation of heat transfer and mechanics of soils with phase change. We present the construction of the simplified mathematical model based on the definition of water and ice fraction
Maria Vasilyeva, Dmitry Ammosov, Vasily Vasil’ev   +2 more
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Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

Fixed Point Theory and Applications, 2004
In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the
Berinde Vasile
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Constructing C₀-Semigroups via Picard Iterations and Generating Functions: An Application to a Black–Scholes Integro-Differential Operator

Mathematics, 2021
An alternative approach is proposed for constructing a strongly continuous semigroup based on the classical method of successive approximations, or Picard iterations, together with generating functions.
Marianito R. Rodrigo
doaj   +1 more source