Published Article!! A New Study To Find Out The Best Computational Method For Solving The Nonlinear Equation

Published Article!!

A New Study To Find Out The Best Computational Method For Solving The Nonlinear Equation

ABSTRACT

The main purpose of this research is to find out the best method through iterative methods for solving the nonlinear equation. In this study, the four iterative methods are examined and emphasized to solve the nonlinear equations. From this method explained, the rate of convergence is demonstrated among the 1st

degree based iterative methods. After that, the graphical development is established here with the help of the four iterative methods and these results are tested with various functions. An example of the algebraic equation is taken to exhibit the comparison of the approximate error among the methods. Moreover, two

examples of the algebraic and transcendental equation are applied to verify the best method, as well as the level of errors, are shown graphically.

KEYWORDS

Newton-Raphson method, False Position method, Secant method, Bisection method, Nonlinear equations and Rate of convergence.

REFERENCES

[1] Richard L. Burden, J.douglas Faires, Annette M. burden, “Numerical Analysis”, Tenth Edition, ISBN: 978-1-305-25366-7.

[2] R. Vasishtha, Vipin Vasishtha, “Numerical Analysis”, Fourth Edition.

[3] S.S. Sastry, “Introduction Methods of Numerical Analysis”, Fourth Edition, ISBN: 81-203-2761-6.

[4] Shin Min Kang, Waqas Nazeer, “Improvements in Newton-Rapson Method for Nonlinear equations using Modified Adomain Decomposition Method”, International Journal of Mathematical Analysis, Vol. 9, 2015, no. 39, 1919.1928.

[5] Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said and Muhammad Waseem, “Some New Iterative methods for Nonlinear Equations, Hindawi Publishing Corporation. 

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