<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 <italic>ω</italic>–continuity conditions. Numerical examples complete this article.</p>
</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.

Extended convergence of a sixth order scheme for solving equations under <italic>ω</italic>–continuity conditions

Learning Commons, University of North Texas at Dallas

Department of Mathematical and Computational Sciences

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

The applicability of an efficient sixth convergence order scheme is extended for solving Banach space valued equations. In previous works, the seventh...

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

Online veröffentlicht: 13. Jan. 2022

Seitenbereich: 92 - 101

Eingereicht: 04. März 2021

Akzeptiert: 31. Juli 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0008

Schlüsselwörter
seventh convergence order, –continuity, local convergence, Banach space

© 2021 Samundra Regmi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Online veröffentlicht: 13. Jan. 2022

Seitenbereich: 92 - 101

Eingereicht: 04. März 2021

Akzeptiert: 31. Juli 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0008

Schlüsselwörterseventh convergence order, –continuity, local convergence, Banach space

© 2021 Samundra Regmi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schlüsselwörter
seventh convergence order, –continuity, local convergence, Banach space