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Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations


Affiliations
1 Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India
2 Dept. of Mathematics, Gitam University, Visakhapatnam, India
 

In this paper, the Eighteenth Order Convergent Method (EOCM) developed by Vatti et.al is considered and this method is further studied without the presence of second derivative. It is shown that this method has same efficiency index as that of EOCM. Several numerical examples are given to illustrate the efficiency and performance of the new method. AMS Subject Classification: 41A25, 65K05, 65H05.

Keywords

Iterative Method, Nonlinear Equation, Newton’s Method, Convergence Analysis, Higher Order Convergence.
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  • Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations

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Authors

V. B. Kumar Vatti
Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India
Ramadevi Sri
Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India
M. S. Kumar Mylapalli
Dept. of Mathematics, Gitam University, Visakhapatnam, India

Abstract


In this paper, the Eighteenth Order Convergent Method (EOCM) developed by Vatti et.al is considered and this method is further studied without the presence of second derivative. It is shown that this method has same efficiency index as that of EOCM. Several numerical examples are given to illustrate the efficiency and performance of the new method. AMS Subject Classification: 41A25, 65K05, 65H05.

Keywords


Iterative Method, Nonlinear Equation, Newton’s Method, Convergence Analysis, Higher Order Convergence.

References





DOI: https://doi.org/10.13005/ojcst%2F10.04.19