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An Improved Bracketing Method For Numerical Solution Of Nonlinear Equations Based On Ridders Method

Author

Listed:
  • Bawar Mohammed Faraj

    (Computer Science department, College of Science, University of Halabja, Halabja, 46018, Iraq)

  • Shnyar Karim Rahman

    (Department of Physics, College of Science, University of Halabja, Halabja, 46018, Iraq)

  • Deni Adnan Mohammed

    (Department of Physics, College of Science, University of Halabja, Halabja, 46018, Iraq)

  • Bahadin Muhammad Hussein

    (Department of Physics, College of Science, University of Halabja, Halabja, 46018, Iraq)

  • Berivan Azad Salam

    (Department of Physics, College of Science, University of Halabja, Halabja, 46018, Iraq)

  • Khadija Rzgar Mohammed

    (Department of Physics, College of Science, University of Halabja, Halabja, 46018, Iraq)

Abstract

In the present study numerical solution for non linear equations have been studied. Ridders methodd have been discussed. An improvement of Ridders method with combination of Bisection and newton Raphson methods have been presented. An algorithm for the proposed method have been stated. Moreover, several examples are included to demonstrate the validity and applicability of the presented technique. Matlab program involved for numerical computations. The proposed method applied for given examples. The error analysis table presents the obtained numerical results. The numerical solutions which found by Matlab program has good results in terms of accuracy.

Suggested Citation

  • Bawar Mohammed Faraj & Shnyar Karim Rahman & Deni Adnan Mohammed & Bahadin Muhammad Hussein & Berivan Azad Salam & Khadija Rzgar Mohammed, 2022. "An Improved Bracketing Method For Numerical Solution Of Nonlinear Equations Based On Ridders Method," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 6(2), pages 30-33, September.
    • Handle: RePEc:zib:zbmsmk:v:6:y:2022:i:2:p:30-33
    DOI: 10.26480/msmk.02.2022.30.33
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    References listed on IDEAS

    as
    1. El Naschie, M.S., 2008. "The fundamental algebraic equations of the constants of nature," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 320-322.
    2. Tim McGuire, 1994. "Equation solving by Ridders' method," Stata Technical Bulletin, StataCorp LP, vol. 3(17).
    3. Kodnyanko, Vladimir, 2021. "Improved bracketing parabolic method for numerical solution of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    Full references (including those not matched with items on IDEAS)

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