An Iterative Method to Solve Nonlinear Equation

Authors

  • Mohammed RASHEED Applied Science Department, University of Technology, Baghdad, Iraq
  • Suha SHIHAB 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
  • Mustafa Abdulkareem Hussein Aldulaimi Mechanical engineering Department, University of Malaysia (UTM), Skudai 81310, Johor Bahru, Malaysia

DOI:

https://doi.org/10.29304/jqcm.2021.13.2.802

Keywords:

Dekker's Algorithm, Illinois Algorithm, load resistance, solar cell equivalent circuit, root finding, voltages

Abstract

We analyze and demonstrate two iterative numerical algorithms for finding zeros of nonlinear equations of a single diode photovoltaic cell using different values of load resistance R. Per iterations, the new proposed method need five evaluations of the function and free from second derivatives of the function, this mean one of it is first derivatives. It is revealed that the proposed method Dekker's Algorithm have lesser iterations than other algorithms.

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References

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[109] Suha SHIHAB, Mohammed RASHEED, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamad, Noghanian Toroghi Manoochehr, "An Accelerated Algorithm for Finding Roots of Nonlinear Equation", Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 13 (2), (2021), pp. 160-168.
[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.

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Published

2021-05-28

How to Cite

RASHEED, M., SHIHAB, S., Rashid, A., Rashid, T., Abed Hamed, S. H., & Hussein Aldulaimi, M. A. (2021). An Iterative Method to Solve Nonlinear Equation. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 87– 95. https://doi.org/10.29304/jqcm.2021.13.2.802

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Math Articles

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