Speaker
Prof.
Zhanlav Tugal
(Institute of Mathematics, National University of Mongolia)
Description
In this paper we propose a generating function's method for constructing new two and three-point iterations with $p\ (3\leq p\leq8)$ order of convergence. This approach allows us to derive a new family of optimal order iterative methods that includes well known methods as a special cases. The necessary and sufficient conditions for $p$-th order convergence of proposed iterations are given in term of parameters $\tau_n$ and $\alpha_n$. Several numerical results are given to demonstrate the efficiency and performance of the presented methods and compare them with some other existing methods.
Primary author
Prof.
Zhanlav Tugal
(Institute of Mathematics, National University of Mongolia)
Co-authors
Dr
Ochbadrakh Chuluunbaatar
(JINR LIT)
Dr
Ulziibayar Vandandoo
(Mongolian University of Science and Technology)
