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Original Articles

Fourth-order derivative-free methods for solving non-linear equations

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Pages 101-106 | Received 03 Sep 2004, Published online: 25 Jan 2007

Keep up to date with the latest research on this topic with citation updates for this article.

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B. Neta. (2010) Extension of Murakami's high-order non-linear solver to multiple roots. International Journal of Computer Mathematics 87:5, pages 1023-1031.
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J. R. Sharma. (2007) A family of improved Jarratt multipoint methods. International Journal of Computer Mathematics 84:7, pages 1027-1034.
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Articles from other publishers (23)

Noori Yasir Abdul-Hassan, Ali Hasan Ali & Choonkil Park. (2021) A new fifth-order iterative method free from second derivative for solving nonlinear equations. Journal of Applied Mathematics and Computing 68:5, pages 2877-2886.
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Beny Neta. (2020) Basin attractors for derivative-free methods to find simple roots of nonlinear equations. Journal of Numerical Analysis and Approximation Theory 49:2, pages 177-189.
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Obadah Said Solaiman, Samsul Ariffin Abdul Karim & Ishak Hashim. (2019) Optimal fourth- and eighth-order of convergence derivative-free modifications of King’s method. Journal of King Saud University - Science 31:4, pages 1499-1504.
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Parimala Sivakumar & Jayakumar Jayaraman. (2019) Some New Higher Order Weighted Newton Methods for Solving Nonlinear Equation with Applications. Mathematical and Computational Applications 24:2, pages 59.
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T. Zhanlav, Kh. Otgondorj & O. Chuluunbaatar. (2019) Families of Optimal Derivative-Free Two- and Three-Point Iterative Methods for Solving Nonlinear Equations. Computational Mathematics and Mathematical Physics 59:6, pages 864-880.
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Vivek Kumar Srivastav, Srinivasarao Thota & Manoj Kumar. (2019) A New Trigonometrical Algorithm for Computing Real Root of Non-linear Transcendental Equations. International Journal of Applied and Computational Mathematics 5:2.
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Srinivasarao Thota & Vivek Kumar Srivastav. (2018) Quadratically convergent algorithm for computing real root of non-linear transcendental equations. BMC Research Notes 11:1.
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Sanjay Kumar Khattri. (2014) How to increase convergence order of the Newton method to 2 × m?. Applications of Mathematics 59:1, pages 15-24.
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Miodrag S. Petković, Beny Neta, Ljiljana D. Petković & Jovana Džunić. (2014) Multipoint methods for solving nonlinear equations: A survey. Applied Mathematics and Computation 226, pages 635-660.
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. 2013. Multipoint Methods. Multipoint Methods 281 291 .
Miodrag S. Petković, Beny Neta, Ljiljana D. Petković & Jovana Džunić. 2013. Multipoint Methods. Multipoint Methods 27 83 .
Changbum Chun, Mi Young Lee, Beny Neta & Jovana Džunić. (2012) On optimal fourth-order iterative methods free from second derivative and their dynamics. Applied Mathematics and Computation 218:11, pages 6427-6438.
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Yunxiang Li & Yehui Peng. (2011) A Super-Cubic Derivative-Free Algorithm for Non-linear Equations. A Super-Cubic Derivative-Free Algorithm for Non-linear Equations.
S.K. Khattri, M.A. Noor & E. Al-Said. (2011) Unifying fourth-order family of iterative methods. Applied Mathematics Letters 24:8, pages 1295-1300.
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Haijun Wang & Subei Li. (2010) A family of derivative-free methods for nonlinear equations. Revista Matemática Complutense 24:2, pages 375-389.
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Yehui Peng, Heying Feng, Qiyong Li & Xiaoqing Zhang. (2011) A fourth-order derivative-free algorithm for nonlinear equations. Journal of Computational and Applied Mathematics 235:8, pages 2551-2559.
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B. Neta & M.S. Petković. (2010) Construction of optimal order nonlinear solvers using inverse interpolation. Applied Mathematics and Computation 217:6, pages 2448-2455.
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Changbum Chun & YoonMee Ham. (2008) Some fourth-order modifications of Newton’s method. Applied Mathematics and Computation 197:2, pages 654-658.
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Changbum Chun. (2008) Some fourth-order iterative methods for solving nonlinear equations. Applied Mathematics and Computation 195:2, pages 454-459.
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J.R. Sharma & R.K. Guha. (2007) A family of modified Ostrowski methods with accelerated sixth order convergence. Applied Mathematics and Computation 190:1, pages 111-115.
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Changbum Chun. (2007) Some variants of King’s fourth-order family of methods for nonlinear equations. Applied Mathematics and Computation 190:1, pages 57-62.
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Changbum Chun. (2007) Certain improvements of Chebyshev–Halley methods with accelerated fourth-order convergence. Applied Mathematics and Computation 189:1, pages 597-601.
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Changbum Chun & YoonMee Ham. (2007) A one-parameter fourth-order family of iterative methods for nonlinear equations. Applied Mathematics and Computation 189:1, pages 610-614.
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