Argyros, I.K.George, S.Erappa, S.M.2026-02-062021Springer Proceedings in Mathematics and Statistics, 2021, Vol.344, , p. 239-24621941009https://doi.org/10.1007/978-981-33-4646-8_21https://idr.nitk.ac.in/handle/123456789/30386We 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. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.Newton’s methodSteffensen’s method