Geodesic
Construction of Tri-parametric derivative free fourth order with and without memory iterative method
Zafar, F.1 ; Yasmin, N.1 ; Kutbi, M. A.2 ; Zeshan, M.1
1 Centre for Advanced Studies in Pure and Applied Mathematics(CASPAM), Bahauddin Zakariya University, Multan 60800, Pakistan
2 Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1410-1423.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We have given two general methods of converting with derivative two-step methods to without derivative two-step methods. It can also be observed that this conversion not only retain the optimal order of convergence of the two-step methods but the resulting derivative free families of iterative methods are also extendable to with memory class. The with-memory methods show greater acceleration in the order of convergence. In this way, order of convergence is accelerated from 4 to 7.53 at the most. An extensive comparison of our methods is done with the recent methods of respective domain.
DOI : 10.22436/jnsa.009.04.01
Classification : 65D05, 65H05
Keywords: With and without memory methods, derivative free, self accelerating parameters, accelerated order of convergence.

Zafar, F. 1 ; Yasmin, N. 1 ; Kutbi, M. A. 2 ; Zeshan, M. 1

1 Centre for Advanced Studies in Pure and Applied Mathematics(CASPAM), Bahauddin Zakariya University, Multan 60800, Pakistan
2 Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia 
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Zafar, F.; Yasmin, N.; Kutbi, M. A.; Zeshan, M. Construction of Tri-parametric derivative free fourth order with and without memory iterative method. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1410-1423. doi : 10.22436/jnsa.009.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.04.01/

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