A third-order convergent iterative method for solving non-linear equations

Abstract

In this paper, we present and analyse a new predictor-corrector iterative method for solving non-linear single variable equations. The convergence analysis establishes that the new method is cubically convergent. Numerical tests show that the method is comparable with the well-known existing methods and in many cases gives better results.

Keywords:

• iterative methods
• quadrature rule
• predictor-corrector methods
• convergence order
• non-linear equations

2000 AMS Subject Classification :

• 65H05