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

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

doi:10.1007/978-981-33-4646-8_21

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

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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Mathematical Analysis and Computing - ICMAC 2019
Editors	R. N. Mohapatra, S. Yugesh, G. Kalpana, C. Kalaivani
Publisher	Springer Gabler
Pages	239-246
Number of pages	8
ISBN (Print)	9789813346451
DOIs	https://doi.org/10.1007/978-981-33-4646-8_21
Publication status	Published - 2021
Event	International Conference on Mathematical Analysis and Computing, ICMAC 2019 - Kalavakkam, India Duration: 23-12-2019 → 24-12-2019

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	344
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Mathematical Analysis and Computing, ICMAC 2019
Country/Territory	India
City	Kalavakkam
Period	23-12-19 → 24-12-19

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/978-981-33-4646-8_21

Cite this

Argyros, I. K., George, S., & Erappa, S. M. (2021). Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions. In R. N. Mohapatra, S. Yugesh, G. Kalpana, & C. Kalaivani (Eds.), Mathematical Analysis and Computing - ICMAC 2019 (pp. 239-246). (Springer Proceedings in Mathematics and Statistics; Vol. 344). Springer Gabler. https://doi.org/10.1007/978-981-33-4646-8_21

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title = "Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions",

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.",

author = "Argyros, \{Ioannis K.\} and Santhosh George and Erappa, \{Shobha M.\}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; International Conference on Mathematical Analysis and Computing, ICMAC 2019 ; Conference date: 23-12-2019 Through 24-12-2019",

year = "2021",

doi = "10.1007/978-981-33-4646-8\_21",

language = "English",

isbn = "9789813346451",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer Gabler",

pages = "239--246",

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booktitle = "Mathematical Analysis and Computing - ICMAC 2019",

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Argyros, IK, George, S & Erappa, SM 2021, Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions. in RN Mohapatra, S Yugesh, G Kalpana & C Kalaivani (eds), Mathematical Analysis and Computing - ICMAC 2019. Springer Proceedings in Mathematics and Statistics, vol. 344, Springer Gabler, pp. 239-246, International Conference on Mathematical Analysis and Computing, ICMAC 2019, Kalavakkam, India, 23-12-19. https://doi.org/10.1007/978-981-33-4646-8_21

Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions. / Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M.
Mathematical Analysis and Computing - ICMAC 2019. ed. / R. N. Mohapatra; S. Yugesh; G. Kalpana; C. Kalaivani. Springer Gabler, 2021. p. 239-246 (Springer Proceedings in Mathematics and Statistics; Vol. 344).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Ball Convergence of a Fifth-Order Method for Solving Equations Under Weak Conditions

AU - Argyros, Ioannis K.

AU - George, Santhosh

AU - Erappa, Shobha M.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

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DO - 10.1007/978-981-33-4646-8_21

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AN - SCOPUS:85106407146

SN - 9789813346451

T3 - Springer Proceedings in Mathematics and Statistics

SP - 239

EP - 246

BT - Mathematical Analysis and Computing - ICMAC 2019

A2 - Mohapatra, R. N.

A2 - Yugesh, S.

A2 - Kalpana, G.

A2 - Kalaivani, C.

PB - Springer Gabler

T2 - International Conference on Mathematical Analysis and Computing, ICMAC 2019

Y2 - 23 December 2019 through 24 December 2019

ER -

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

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