R. Thukral

New Fourth-order Schroder-type Methods for Finding Zeros of Nonlinear Equations Having Unknown Multiplicity

R. Thukral · Journal of Advances in Mathematics and Computer Science · 2015

In this paper we define two new fourth-order Schroder-type methods for finding zeros of nonlinear equations having unknown multiplicity. In terms of computational cost the new iterative methods requires six evaluations of functions per iteration. It is proved that the new methods...

Open access Research Article 10.9734/BJMCS/2016/21820

Two-step Iterative Methods with Sixth-order Convergence for Solving Nonlinear Equations

R. Thukral · Journal of Advances in Mathematics and Computer Science · 2014

Two parameter families of sixth-order iterative methods for finding simple zeros of nonlinear equations are developed. The new methods have the order of convergence order of five or six. Per iteration these new methods require two evaluations of the function and two evaluations o...

Open access Research Article 10.9734/BJMCS/2014/10214