Implementations of Open and Closed Method Numerically: A Non-linear Equations Solution Convergence Test

Authors

  • Maulia Putri Islamic University of Mataram
  • Syaharuddin Syaharuddin [Scopus ID: 57204821706, Sinta ID: 6007619], University of Muhammadiyah Mataram

DOI:

https://doi.org/10.31764/ijeca.v2i2.2041

Abstract

Non-linear equations are one of the studies in mathematics. Root search in complex non-linear equations can be solved by numerical methods. Many methods to solve the equation. Therefore, the purpose of this research is to conduct simulation of closed and open methods such as Newton Raphson method, Secant method, Regula Falsi, Fixet Point, and Bisection. This is done as a form of comparative research to see the accuracy, number of iterations, and errors of each method in resolving the non-linear equations. As for the case being resolved is the roots of the exponential equation, trigonometry, logarithmic and polynomial degrees of three. The results of this study resulted in different levels of convergence in resolving each case

Author Biography

Syaharuddin Syaharuddin, [Scopus ID: 57204821706, Sinta ID: 6007619], University of Muhammadiyah Mataram

------------------------

Scopus ID: 57204821706 

Sinta ID: 6007619

Google Scholar

------------------------

Field of Research Interest:

Mathematics Education, Mathematical Computing, Modeling, ICT Learning Media

 

 

 

References

Bisconti, L., & Franca, M. (2015). On a non-homogeneous and non-linear heat equation. Dynamics of Partial Differential Equations, 12(4), 289–320. https://doi.org/10.4310/DPDE.2015.v12.n4.a1

Dedieu, J.-P. (2015). Newton-Raphson Method. In Encyclopedia of Applied and Computational Mathematics (pp. 1023–1028). https://doi.org/10.1007/978-3-540-70529-1_374

El-Abd, E. M. (2010). On the existence of solutions for non-linear functional integral equation. Filomat, 24(4), 17–23. https://doi.org/10.2298/FIL1004017A

Mao, J., Wei, W., & Huang, W. (2010). Nonlinear numerical method for stiff systems. ICCASM 2010 - 2010 International Conference on Computer Application and System Modeling, Proceedings, 6. https://doi.org/10.1109/ICCASM.2010.5620710

Negara, H. R. P., Syaharuddin, Kurniawati, K. R. A., & Negara, H. R. P. (2019). Analysis Of Nonlinear Models For The Acceleration Of Increasing HDI In Asia. International Journal Of Scientific & Technology Research, 8(1), 60–62.

Ratu, H., Negara, P., Mandailina, V., & Sucipto, L. (2017). Calculus Problem Solution And Simulation Using GUI Of Matlab. International Journal of Scientific & Technology Research, 6(09), 275–279.

Trofimov, V. A., & Trykin, E. M. (2014). Combined method for solving of 1d nonlinear schrödinger equation. Lecture Notes in Electrical Engineering, 307, 173–188. https://doi.org/10.1007/978-3-319-03967-1_14

Van Hecke, T. (2011). On halley’s correction to the newton-raphson method. Mathematical Scientist, 36(1), 37–42.

Published

2019-08-30

Issue

Section

Articles