Various Iterative Methods for Solving Nonlinear Equation

  • 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
  • Saja saber Abdulwahhab Faculty of Engineering, University Putra Malaysia (UPM), JALAN UNIVERSITI 1 Serdang, 43400 Seri Kembangan, Selangor, Malaysia
Keywords: Dekker's Algorithm, False Position Method, iterative methods, zeroes, numerical examples, solar cell single diode's

Abstract

In recent articles, many researchers settled some refinements in iterative methods have been published in many scientific journals for solving nonlinear equations of a single diode mode of a solar cell. Thus, in our article, we have improved these numerical algorithms. We have compared the new iterative algorithm "Dekker's Algorithm" with other iterative of sixth order convergence methods; which appears that this new proposed method is a strong one. Many numerical examples are presented to clarify the accuracy, efficiency and performance of the new proposed method.

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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.
Published
2021-05-28
How to Cite
RASHEED, M., SHIHAB, S., Rashid, A., Rashid, T., Abed Hamed, S., & Abdulwahhab, S. (2021). Various Iterative Methods for Solving Nonlinear Equation. Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 78-. https://doi.org/10.29304/jqcm.2021.13.2.801
Section
Math Articles

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