An advanced approach of Regula-Falsi method exploiting the bisection method

Abstract

We design a new numerical method which is the advanced version of the Regula-Falsi [1] method where the bisection technique [2] is used. We briefly discuss these two methods with their respective graphs. We provide an algorithm along with the graphical representation of our proposed method. Finally, we compare our proposed method with some basic iterative methods using a data table.

Subject Classification:

• Primary 65H04
• Secondary 65H05

Keywords:

• Numerical method
• Error tolerance
• Bisection method
• Regula-Falsi method