An Optimal Ninth Order Iterative Method for Solving Non-Linear Equations

Authors

  • Rajesh Kumar Palli Research Scholar, Department of Mathematics GITAM (Deemed to be University), Visakhapatnam, India. Author
  • Mani Sandeep Kumar Mylapalli Department of Mathematics GITAM (Deemed to be University), Visakhapatnam, India. Author
  • Ramadevi Sri Department of Mathematics, Dr. L. Bullayya College, Visakhapatnam, India. Author

DOI:

https://doi.org/10.61841/nycr6039

Keywords:

Iterative Method, Nonlinear Equation, Newton’s Method, Convergence Analysis

Abstract

In this paper, we suggest and analyze a new ninth-order three-step iterative method for solving non-linear equations. This method is compared with the existing ones through some numerical examples to exhibit its superiority. 

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References

[1] C. Chun, Iterative methods improving Newton’s method by the decomposition method, Comput. Math. Appl. 50, (2005), 1559–1568.

[2] F. Ahmad, Iterative method for solving nonlinear equations using decomposition method, J. Appl. Environ. Biol. Sci., 5(4), (2015), 247-253.

[3] J. H. He, A new iteration method for solving algebraic equations, Appl. Math. Comput. 135, (2003), 81–84.

[4] H. H. Homeier, On Newton-type methods with cubic convergence, J. Comput. Appl. Math. 176, (2005), 425–432.

[5] M. Aslam Noor, Three-step iterative methods for nonlinear equations, Appl. Math. Comput. 183, (2006), 322–327.

[6] S. Abbasbandy, Improving Newton–Raphson method for nonlinear equations by modified Adomian Adomiandecomposition method, Appl. Math. Comput. 145, (2003), 887–893.

[7] Daftardar-Gejji , Jafari H., An iterative method for solving nonlinear functional equations, J. Math. Anal. Appl. 316, (2006), 753–763.

[8] V. B. K. Vatti, Sri R., Mylapalli, M. S. K., Two-step extrapolated Newton’s method with high efficiency index, J. Adv. Res. Dyn. Control Syst. 9(5), (2017), 08–15.

[9] X. Luo, A note on the new iteration for solving algebraic equations, Appl. Math. Comput. 171, (2005), 1177–1183.

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Published

31.07.2020

Issue

Vol. 24 No. 5 (2020): 24 (5) 2020

Section

Articles

License

Copyright (c) 2020 AUTHOR

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How to Cite

Kumar Palli, R., Sandeep Kumar Mylapalli, M., & Sri, R. (2020). An Optimal Ninth Order Iterative Method for Solving Non-Linear Equations. International Journal of Psychosocial Rehabilitation, 24(5), 325-331. https://doi.org/10.61841/nycr6039