Journal of Prime Research in Mathematics

New twelfth order algorithms for solving nonlinear equations by using variational iteration technique

Muhammad Nawaz
Department of Mathematics, University of Lahore, Pakpattan Campus, Pakpattan Pakistan.
Amir Naseem
Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan.
Waqas Nazeer
Division of Science and Technology, University of Education, Lahore Pakistan.

\(^{1}\)Corresponding Author:


In this paper, we proposed three new algorithms for solving non-linear equations by using variational iteration technique. We discuss the convergence criteria of our newly developed algorithms. To demonstrate the efficiency and performance of these methods, several numerical examples are given which show that our generated methods are best as compared to Newton’s method, Halley’s method, Househ¨older’s method and other well known iterative methods. The variational iteration technique can be used to suggest a wide class of new iterative methods for solving a system of non-linear equations.


Non-linear equations, Newton’s method, Halley’s method, Householder’s method.