Extended convergence of a sixth order scheme for solving equations under ω–continuity conditions-Reference-Cited by-同舟云学术

Extended convergence of a sixth order scheme for solving equations under ω–continuity conditions

Published:2022-01-01 Issue:1 Volume:8 Page:92-101
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Regmi Samundra¹,Argyros Christopher I.²,Argyros Ioannis K.³,George Santhosh⁴

Affiliation:

1. Learning Commons, University of North Texas at Dallas , Dallas, TX, 75038, USA

2. Department of Computer Science , University of Oklahoma , Norman, OK 73071, USA

3. Department of Mathematical Sciences , Cameron University , Lawton, OK 73505, USA

4. Department of Mathematical and Computational Sciences , National Institute of Technology , Karnataka , India -575 025

Abstract

Abstract The applicability of an efficient sixth convergence order scheme is extended for solving Banach space valued equations. In previous works, the seventh derivative has been used not appearing on the scheme. But we use only the first derivative that appears on the scheme. Moreover, bounds on the error distances and results on the uniqueness of the solution are provided (not given in earlier works) based on ω–continuity conditions. Numerical examples complete this article.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2022-0008

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