A Fast Derivative-Free Iteration Scheme for Nonlinear Systems and Integral Equations

Mozafar Rostami, Taher Lotfi and Ali Brahmand
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Mozafar Rostami: Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan 15743-65181, Iran
Taher Lotfi: Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan 15743-65181, Iran
Ali Brahmand: Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan 15743-65181, Iran

Mathematics, 2019, vol. 7, issue 7, 1-11

Abstract: Derivative-free schemes are a class of competitive methods since they are one remedy in cases at which the computation of the Jacobian or higher order derivatives of multi-dimensional functions is difficult. This article studies a variant of Steffensen’s method with memory for tackling a nonlinear system of equations, to not only be independent of the Jacobian calculation but also to improve the computational efficiency. The analytical parts of the work are supported by several tests, including an application in mixed integral equations.

Keywords: integral equation; efficiency index; nonlinear models; iterative methods; higher order (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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