Abstract
We establish a global convergence result for an efficient third-order iterative process which is constructed from Chebyshev's method by approximating the second derivative of the operator involved by combinations of the operator. In particular, from the use of auxiliary points, we provide domains of restricted global convergence that allow obtaining balls of convergence and locate solutions. Finally, we use different numerical examples, including a Chandrashekar's integral equation problem, to illustrate the study. (C) 2021 The Authors. Published by Elsevier B.V.
NSTL
Elsevier