Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We develop a ball convergence for a fifth-order method to find a solution for an equation. Earlier studies used conditions on the sixth derivative not present in the methods. Moreover, no error estimates are provided. That is why we used conditions up to the second derivative. Numerical experiments validate the theoretical results.

Original languageEnglish
Title of host publicationMathematical Analysis and Computing - ICMAC 2019
EditorsR. N. Mohapatra, S. Yugesh, G. Kalpana, C. Kalaivani
PublisherSpringer Gabler
Pages239-246
Number of pages8
ISBN (Print)9789813346451
DOIs
Publication statusPublished - 2021
EventInternational Conference on Mathematical Analysis and Computing, ICMAC 2019 - Kalavakkam, India
Duration: 23-12-201924-12-2019

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume344
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Mathematical Analysis and Computing, ICMAC 2019
Country/TerritoryIndia
CityKalavakkam
Period23-12-1924-12-19

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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