# An Accelerated Algorithm for Finding Roots of Nonlinear Equation

• Suha SHIHAB Applied Science Department, University of Technology, Baghdad, Iraq
• Mohammed RASHEED Applied Science Department, University of Technology, Baghdad, Iraq
• Ahmed Rashid Al Iraqia University, College of Arts, Baghdad, Iraq
• Taha Rashid Computer and Microelectronics System, faculty of Engineering, University of Malaysia ,Skudai 81310, Johor Bahru, Malaysia
• Saad Hussein Abed Hamed College of Computer Science & Information Technology, Al-Qadisiyah University, Al-Diwaniyah, Iraq
• Noghanian Toroghi Manoochehr Computer and Microelectronic Systems, Faculty of Electrical Engineering, University of Technology Malaysia (UTM), Skudai 81310, Johor Bahru, Malaysia
Keywords: Dekker's algorithm, Implicit algorithm, numerical experiments, photovoltaic cell, first derivative, absolute error

### Abstract

This paper concerns with a new numerical iterative method for finding the approximate solutions deals with the nonlinear equations of a solar cell (single-diode) formula associated with equivalent electrical circuit. The iterative method suggested here is free from second derivative of the function. The present study proposes to show that this new root-finding algorithm combined with a standard iterative method is capable to give an accurate solution of zero's function than classical method. Numerical experiments of the improved iterative method is analyzed and discussed on nonlinear equations.

### References

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[110] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, Noghanian Toroghi Manoochehr, "Numerical Solving of Nonlinear Equation Using Iterative Algorithms", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 169-177.
[111] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, "On Solving Nonlinear Equation Via Numerical Analysis for Photovoltaic Cell (HM-DM)", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 178-186.
[112] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, "Application of Numerical Analysis for Solving Nonlinear Equation (AHM-DM)", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 187-195.
[113] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, "Analysis of Non-Linear Device by means of Numerical Algorithms (2SM-DM)", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 196-204.
[114] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, "Various Numerical Methods for Solving Nonlinear Equation (IHorner-DM)", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 205-214.
[115] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, "Restarted Pell Algorithm for Solving Calculus of Variation Problems", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 215-226.
Published
2021-06-13
How to Cite
SHIHAB, S., RASHEED, M., Rashid, A., Rashid, T., Abed Hamed, S., & Manoochehr, N. (2021). An Accelerated Algorithm for Finding Roots of Nonlinear Equation. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 160-. https://doi.org/10.29304/jqcm.2021.13.2.811
Issue
Section
Math Articles