Oriental Journal of Computer Science and Technology

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Eighteenth Order Convergent Method for Solving Non-Linear Equations


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

In this paper, we suggest and discuss an iterative method for solving nonlinear equations of the type f(x)=0  having eighteenth order convergence. This new technique based on Newton’s method and extrapolated Newton’s method. This method is compared with the existing ones through some numerical examples to exhibit its superiority.

Keywords

Iterative Method, Nonlinear Equation, Newton’s Method, Convergence Analysis, Higher Order Convergence.
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  • 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
Sri Ramadevi
Dept. of Engineering Mathematics, Andhra University, Visakhapatnam, India
M. S. Kumar Mylapalli
Dept. of Engineering Mathematics, Gitam University, Visakhapatnam, India

Abstract


In this paper, we suggest and discuss an iterative method for solving nonlinear equations of the type f(x)=0  having eighteenth order convergence. This new technique based on Newton’s method and extrapolated Newton’s method. This method is compared with the existing ones through some numerical examples to exhibit its superiority.

Keywords


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

References





DOI: https://doi.org/10.13005/ojcst%2F10.01.19