Farooq Ahmada, Sajjad Hussain , Sifat Hussain , Arif Rafiq
farooqgujar@gmail.com, sajjad_h96@yahoo.com, sifat2003@gmail.com,
arafiq@comsats.edu.pk
a: Corresponding author
Principal / Head of Institution / Associate Professor of Mathematics
Government Degree College Darya Khan (Bhakkar) 30000, Punjab, Pakistan
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya
University, Multan, 60800, Pakistan
Department of Mathematics, COMSATS Institute of Information Technology, Plot No. 30,
Sector H-8/1, Islamabad 44000, Pakistan
Asia Pacific Journal of Multidisciplinary Research | Vol. 1, No. 1 | December 2013
New Efficient Fourth Order Method for Solving Nonlinear Equations 445 KB 1 downloads
Farooq Ahmada, Sajjad Hussain , Sifat Hussain , Arif Rafiq farooqgujar@gmail.com,...
In a paper [Appl. Math. Comput., 188 (2) (2007) 1587–1591], authors have suggested and analyzed a method for solving nonlinear equations. In the present work, we modified this method by using the finite difference scheme, which has a quintic convergence. We have compared this modified Halley method with some other iterative of fifth-orders convergence methods, which shows that this new method having convergence of fourth order, is efficient.
Keywords: Iterative methods, Convergence Order, Halley method, Jarratt method, Numerical Examples