Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638837 | Journal of Computational and Applied Mathematics | 2015 | 9 Pages |
Abstract
In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found. This scheme is finally used to estimate the solution of an integral equation and so, the theoretical results are numerically checked. We use this example to show the better efficiency of the current method compared with other existing ones, including Newton’s scheme.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Cordero, M.A. Hernández-Verón, N. Romero, J.R. Torregrosa,