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Section B

Constructing third-order derivative-free iterative methods

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Pages 1509-1518 | Received 07 Mar 2010, Accepted 17 Aug 2010, Published online: 11 Mar 2011

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Gyurhan H. Nedzhibov. (2013) Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations. International Journal of Computer Mathematics 90:5, pages 994-1007.
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Vorkady S. Shubha, Santhosh George & P. Jidesh. (2019) Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations. Journal of Applied Mathematics and Computing 61:1-2, pages 137-153.
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Mahboub Baccouch. (2019) A Family of High Order Derivative-Free Iterative Methods for Solving Root-Finding Problems. International Journal of Applied and Computational Mathematics 5:3.
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V.B. Kumar VattiRamadevi SriM.S.Kumar Mylapalli. (2018) Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations. Oriental journal of computer science and technology 10:04, pages 829-835.
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Mahboub Baccouch. (2017) A Family of High Order Numerical Methods for Solving Nonlinear Algebraic Equations with Simple and Multiple Roots. International Journal of Applied and Computational Mathematics 3:S1, pages 1119-1133.
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V.B Vatti, Ramadevi Sri & M.S Mylapalli. (2017) Eighteenth Order Convergent Method for Solving Non-Linear Equations. Oriental journal of computer science and technology 10:1, pages 144-150.
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Sukhjit Singh & Dharmendra Kumar Gupta. (2015) Iterative Methods of Higher Order for Nonlinear Equations. Vietnam Journal of Mathematics 44:2, pages 387-398.
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Muhammad Aslam Noor, Khalida Inayat Noor & Rabia Kamal. (2014) General variational inclusions involving difference of operators. Journal of Inequalities and Applications 2014:1.
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Sanjay K. Khattri & Trond Steihaug. (2013) Algorithm for forming derivative-free optimal methods. Numerical Algorithms 65:4, pages 809-824.
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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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Sanjay K Khattri & Ioannis K Argyros. (2013) Unification of sixth-order iterative methods. Mathematical Sciences 7:1, pages 5.
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Gyurhan H. Nedzhibov. (2012) A derivative-free iterative method for simultaneously computing an arbitrary number of zeros of nonlinear equations. Computers & Mathematics with Applications 63:7, pages 1185-1191.
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Tianbao Liu & Hengyan Li. (2012) Some New Variants of Cauchy's Methods for Solving Nonlinear Equations. Journal of Applied Mathematics 2012, pages 1-13.
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Sanjay Kumar Khattri. (2011) Optimal Eighth Order Iterative Methods. Mathematics in Computer Science 5:2, pages 237-243.
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