IJPAM: Volume 108, No. 4 (2016)

RECURRENCE RELATIONS AND SEMILOCAL
CONVERGENCE OF A FIFTH ORDER METHOD
IN BANACH SPACES

J.P. Jaiswal$^1$, Bhavna Panday$^2$
$^1$Department of Mathematics
Maulana Azad National Institute of Technology
Bhopal, M.P., 462051, INDIA
$^2$Department of Mathematics
DMS Regional Institute of Education
Bhopal, M.P., 462013, INDIA


Abstract. The aim of this article is to study the semilocal convergence of a fifth order method in Banach spaces. Using recurrence relations, we have proved convergence, existence and uniqueness theorem, along with a priori error bounds which shows the $R$-order of convergence. Finally, we have demonstrated the numerical results on nonlinear integral equation.

Received: March 28, 2016

AMS Subject Classification: 65D10, 65D99

Key Words and Phrases: nonlinear equation, error bound, Banach space, recurrence relation, semilocal convergence

Download paper from here.



DOI: 10.12732/ijpam.v108i4.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 767 - 780


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).