Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations | Zendy

J. P. Jaiswal | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations

Author(s) -

J. P. Jaiswal

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/817656

Subject(s) - third order , nonlinear system , class (philosophy) , extension (predicate logic) , mathematics , order (exchange) , iterative method , computer science , mathematical optimization , artificial intelligence , law , physics , finance , quantum mechanics , economics , programming language , political science

The object of the present work is to give the new class ofthird- and fourth-order iterative methods for solving nonlinear equations. Our proposed third-order method includes methods of Weerakoon and Fernando (2000), Homeier (2005), and Chun and Kim (2010) as particular cases. The multivariate extension of some of thesemethods has been also deliberated. Finally, some numerical examplesare given to illustrate the performances of our proposed methods bycomparing them with some well existing third- and fourth-order methods. The efficiency of our proposed fourth-order method over somefourth-order methods is also confirmed by basins of attraction

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research