Several New Third-Order and Fourth-Order Iterative Methods for Solving Nonlinear Equations | Zendy

Anuradha Singh | Zendy; J. P. Jaiswal | Zendy

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Several New Third-Order and Fourth-Order Iterative Methods for Solving Nonlinear Equations

Author(s) -

Anuradha Singh,

J. P. Jaiswal

Publication year - 2014

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2014/828409

Subject(s) - third order , nonlinear system , order (exchange) , mathematics , iterative method , mathematical optimization , computer science , physics , philosophy , theology , finance , quantum mechanics , economics

In order to find the zeros of nonlinear equations, in this paper, we propose a family of third-order and optimal fourth-order iterative methods. We have also obtained some particular cases of these methods. These methods are constructed through weight function concept. The multivariate case of these methods has also been discussed. The numerical results show that the proposed methods are more efficient than some existing third- and fourth-order methods

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